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Finding the Fourth Proportional to 19,594.17, 29,394 and 9,732.69

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Solution

The fourth proportional to 19,594.17, 29,394 and 9,732.69 is: 14,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594.17 : 29,394 = 9,732.69 : x
  2. Step 2: Convert to fraction form
    19,594.17/29,394 = 9,732.69/x
  3. Step 3: Cross multiply
    19,594.17x = 29,394 × 9,732.69
  4. Step 4: Simplify right side
    19,594.17x = 286,082,689.86
  5. Step 5: Solve for x
    x = 286,082,689.86/19,594.17
  6. Step 6: Final answer
    x = 14,600.40

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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.