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Finding the Fourth Proportional to 10,654.24, 14,698.20 and 7,070.08

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Solution

The fourth proportional to 10,654.24, 14,698.20 and 7,070.08 is: 9,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.24 : 14,698.20 = 7,070.08 : x
  2. Step 2: Convert to fraction form
    10,654.24/14,698.20 = 7,070.08/x
  3. Step 3: Cross multiply
    10,654.24x = 14,698.20 × 7,070.08
  4. Step 4: Simplify right side
    10,654.24x = 103,917,449.86
  5. Step 5: Solve for x
    x = 103,917,449.86/10,654.24
  6. Step 6: Final answer
    x = 9,753.62

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