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Finding the Fourth Proportional to 10,023.65, 13,832.43 and 5,547.14

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Solution

The fourth proportional to 10,023.65, 13,832.43 and 5,547.14 is: 7,654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.65 : 13,832.43 = 5,547.14 : x
  2. Step 2: Convert to fraction form
    10,023.65/13,832.43 = 5,547.14/x
  3. Step 3: Cross multiply
    10,023.65x = 13,832.43 × 5,547.14
  4. Step 4: Simplify right side
    10,023.65x = 76,730,387.66
  5. Step 5: Solve for x
    x = 76,730,387.66/10,023.65
  6. Step 6: Final answer
    x = 7,654.94

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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.