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Finding the Fourth Proportional to 14,809.76, 20,416.08 and 11,660.32

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Solution

The fourth proportional to 14,809.76, 20,416.08 and 11,660.32 is: 16,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.76 : 20,416.08 = 11,660.32 : x
  2. Step 2: Convert to fraction form
    14,809.76/20,416.08 = 11,660.32/x
  3. Step 3: Cross multiply
    14,809.76x = 20,416.08 × 11,660.32
  4. Step 4: Simplify right side
    14,809.76x = 238,058,025.95
  5. Step 5: Solve for x
    x = 238,058,025.95/14,809.76
  6. Step 6: Final answer
    x = 16,074.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.