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Finding the Fourth Proportional to 14,713.60, 22,070.40 and 9,767.20

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Solution

The fourth proportional to 14,713.60, 22,070.40 and 9,767.20 is: 14,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.60 : 22,070.40 = 9,767.20 : x
  2. Step 2: Convert to fraction form
    14,713.60/22,070.40 = 9,767.20/x
  3. Step 3: Cross multiply
    14,713.60x = 22,070.40 × 9,767.20
  4. Step 4: Simplify right side
    14,713.60x = 215,566,010.88
  5. Step 5: Solve for x
    x = 215,566,010.88/14,713.60
  6. Step 6: Final answer
    x = 14,650.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.