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Finding the Fourth Proportional to 24,428.80, 36,655.35 and 9,638.20

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Solution

The fourth proportional to 24,428.80, 36,655.35 and 9,638.20 is: 14,462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.80 : 36,655.35 = 9,638.20 : x
  2. Step 2: Convert to fraction form
    24,428.80/36,655.35 = 9,638.20/x
  3. Step 3: Cross multiply
    24,428.80x = 36,655.35 × 9,638.20
  4. Step 4: Simplify right side
    24,428.80x = 353,291,594.37
  5. Step 5: Solve for x
    x = 353,291,594.37/24,428.80
  6. Step 6: Final answer
    x = 14,462.09

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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.