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Finding the Fourth Proportional to 19,522.52, 29,300.10 and 10,165.76

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Solution

The fourth proportional to 19,522.52, 29,300.10 and 10,165.76 is: 15,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,522.52 : 29,300.10 = 10,165.76 : x
  2. Step 2: Convert to fraction form
    19,522.52/29,300.10 = 10,165.76/x
  3. Step 3: Cross multiply
    19,522.52x = 29,300.10 × 10,165.76
  4. Step 4: Simplify right side
    19,522.52x = 297,857,784.58
  5. Step 5: Solve for x
    x = 297,857,784.58/19,522.52
  6. Step 6: Final answer
    x = 15,257.14

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