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Finding the Fourth Proportional to 15,532.17, 23,291.09 and 5,000.24

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Solution

The fourth proportional to 15,532.17, 23,291.09 and 5,000.24 is: 7,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,532.17 : 23,291.09 = 5,000.24 : x
  2. Step 2: Convert to fraction form
    15,532.17/23,291.09 = 5,000.24/x
  3. Step 3: Cross multiply
    15,532.17x = 23,291.09 × 5,000.24
  4. Step 4: Simplify right side
    15,532.17x = 116,461,039.86
  5. Step 5: Solve for x
    x = 116,461,039.86/15,532.17
  6. Step 6: Final answer
    x = 7,498.05

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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.