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Finding the Fourth Proportional to 27,002.30, 40,503.45 and 9,473.90

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Solution

The fourth proportional to 27,002.30, 40,503.45 and 9,473.90 is: 14,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.30 : 40,503.45 = 9,473.90 : x
  2. Step 2: Convert to fraction form
    27,002.30/40,503.45 = 9,473.90/x
  3. Step 3: Cross multiply
    27,002.30x = 40,503.45 × 9,473.90
  4. Step 4: Simplify right side
    27,002.30x = 383,725,634.96
  5. Step 5: Solve for x
    x = 383,725,634.96/27,002.30
  6. Step 6: Final answer
    x = 14,210.85

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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.