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Finding the Fourth Proportional to 14,677.16, 20,257.08 and 8,712.13

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Solution

The fourth proportional to 14,677.16, 20,257.08 and 8,712.13 is: 12,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.16 : 20,257.08 = 8,712.13 : x
  2. Step 2: Convert to fraction form
    14,677.16/20,257.08 = 8,712.13/x
  3. Step 3: Cross multiply
    14,677.16x = 20,257.08 × 8,712.13
  4. Step 4: Simplify right side
    14,677.16x = 176,482,213.10
  5. Step 5: Solve for x
    x = 176,482,213.10/14,677.16
  6. Step 6: Final answer
    x = 12,024.28

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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.