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Finding the Fourth Proportional to 24,428.30, 36,654.60 and 9,637.70

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Solution

The fourth proportional to 24,428.30, 36,654.60 and 9,637.70 is: 14,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.30 : 36,654.60 = 9,637.70 : x
  2. Step 2: Convert to fraction form
    24,428.30/36,654.60 = 9,637.70/x
  3. Step 3: Cross multiply
    24,428.30x = 36,654.60 × 9,637.70
  4. Step 4: Simplify right side
    24,428.30x = 353,266,038.42
  5. Step 5: Solve for x
    x = 353,266,038.42/24,428.30
  6. Step 6: Final answer
    x = 14,461.34

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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.