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Finding the Fourth Proportional to 16,354.52, 24,526.88 and 5,822.66

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Solution

The fourth proportional to 16,354.52, 24,526.88 and 5,822.66 is: 8,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.52 : 24,526.88 = 5,822.66 : x
  2. Step 2: Convert to fraction form
    16,354.52/24,526.88 = 5,822.66/x
  3. Step 3: Cross multiply
    16,354.52x = 24,526.88 × 5,822.66
  4. Step 4: Simplify right side
    16,354.52x = 142,811,683.10
  5. Step 5: Solve for x
    x = 142,811,683.10/16,354.52
  6. Step 6: Final answer
    x = 8,732.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.