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Finding the Fourth Proportional to 14,862.16, 20,509.60 and 8,056.16

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Solution

The fourth proportional to 14,862.16, 20,509.60 and 8,056.16 is: 11,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.16 : 20,509.60 = 8,056.16 : x
  2. Step 2: Convert to fraction form
    14,862.16/20,509.60 = 8,056.16/x
  3. Step 3: Cross multiply
    14,862.16x = 20,509.60 × 8,056.16
  4. Step 4: Simplify right side
    14,862.16x = 165,228,619.14
  5. Step 5: Solve for x
    x = 165,228,619.14/14,862.16
  6. Step 6: Final answer
    x = 11,117.40

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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.