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Finding the Fourth Proportional to 14,480.32, 19,981.74 and 8,193.10

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Solution

The fourth proportional to 14,480.32, 19,981.74 and 8,193.10 is: 11,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.32 : 19,981.74 = 8,193.10 : x
  2. Step 2: Convert to fraction form
    14,480.32/19,981.74 = 8,193.10/x
  3. Step 3: Cross multiply
    14,480.32x = 19,981.74 × 8,193.10
  4. Step 4: Simplify right side
    14,480.32x = 163,712,393.99
  5. Step 5: Solve for x
    x = 163,712,393.99/14,480.32
  6. Step 6: Final answer
    x = 11,305.85

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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.