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Finding the Fourth Proportional to 16,402.72, 24,607.98 and 5,309.40

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Solution

The fourth proportional to 16,402.72, 24,607.98 and 5,309.40 is: 7,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.72 : 24,607.98 = 5,309.40 : x
  2. Step 2: Convert to fraction form
    16,402.72/24,607.98 = 5,309.40/x
  3. Step 3: Cross multiply
    16,402.72x = 24,607.98 × 5,309.40
  4. Step 4: Simplify right side
    16,402.72x = 130,653,609.01
  5. Step 5: Solve for x
    x = 130,653,609.01/16,402.72
  6. Step 6: Final answer
    x = 7,965.36

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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.