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Finding the Fourth Proportional to 10,924.34, 15,069.68 and 9,024.69

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Solution

The fourth proportional to 10,924.34, 15,069.68 and 9,024.69 is: 12,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.34 : 15,069.68 = 9,024.69 : x
  2. Step 2: Convert to fraction form
    10,924.34/15,069.68 = 9,024.69/x
  3. Step 3: Cross multiply
    10,924.34x = 15,069.68 × 9,024.69
  4. Step 4: Simplify right side
    10,924.34x = 135,999,231.32
  5. Step 5: Solve for x
    x = 135,999,231.32/10,924.34
  6. Step 6: Final answer
    x = 12,449.19

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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.