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Finding the Fourth Proportional to 16,347.52, 24,513.92 and 4,658.08

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Solution

The fourth proportional to 16,347.52, 24,513.92 and 4,658.08 is: 6,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.52 : 24,513.92 = 4,658.08 : x
  2. Step 2: Convert to fraction form
    16,347.52/24,513.92 = 4,658.08/x
  3. Step 3: Cross multiply
    16,347.52x = 24,513.92 × 4,658.08
  4. Step 4: Simplify right side
    16,347.52x = 114,187,800.47
  5. Step 5: Solve for x
    x = 114,187,800.47/16,347.52
  6. Step 6: Final answer
    x = 6,985.02

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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.