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Finding the Fourth Proportional to 16,224.74, 24,337.14 and 4,538.06

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Solution

The fourth proportional to 16,224.74, 24,337.14 and 4,538.06 is: 6,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.74 : 24,337.14 = 4,538.06 : x
  2. Step 2: Convert to fraction form
    16,224.74/24,337.14 = 4,538.06/x
  3. Step 3: Cross multiply
    16,224.74x = 24,337.14 × 4,538.06
  4. Step 4: Simplify right side
    16,224.74x = 110,443,401.55
  5. Step 5: Solve for x
    x = 110,443,401.55/16,224.74
  6. Step 6: Final answer
    x = 6,807.10

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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.