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Finding the Fourth Proportional to 24,557.48, 36,836.70 and 6,089

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Solution

The fourth proportional to 24,557.48, 36,836.70 and 6,089 is: 9,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,557.48 : 36,836.70 = 6,089 : x
  2. Step 2: Convert to fraction form
    24,557.48/36,836.70 = 6,089/x
  3. Step 3: Cross multiply
    24,557.48x = 36,836.70 × 6,089
  4. Step 4: Simplify right side
    24,557.48x = 224,298,666.30
  5. Step 5: Solve for x
    x = 224,298,666.30/24,557.48
  6. Step 6: Final answer
    x = 9,133.62

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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.