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Finding the Fourth Proportional to 16,534.46, 24,804.72 and 5,444.30

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Solution

The fourth proportional to 16,534.46, 24,804.72 and 5,444.30 is: 8,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.46 : 24,804.72 = 5,444.30 : x
  2. Step 2: Convert to fraction form
    16,534.46/24,804.72 = 5,444.30/x
  3. Step 3: Cross multiply
    16,534.46x = 24,804.72 × 5,444.30
  4. Step 4: Simplify right side
    16,534.46x = 135,044,337.10
  5. Step 5: Solve for x
    x = 135,044,337.10/16,534.46
  6. Step 6: Final answer
    x = 8,167.45

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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.