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Finding the Fourth Proportional to 16,412.12, 24,603.02 and 6,549

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Solution

The fourth proportional to 16,412.12, 24,603.02 and 6,549 is: 9,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.12 : 24,603.02 = 6,549 : x
  2. Step 2: Convert to fraction form
    16,412.12/24,603.02 = 6,549/x
  3. Step 3: Cross multiply
    16,412.12x = 24,603.02 × 6,549
  4. Step 4: Simplify right side
    16,412.12x = 161,125,177.98
  5. Step 5: Solve for x
    x = 161,125,177.98/16,412.12
  6. Step 6: Final answer
    x = 9,817.45

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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.