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Finding the Fourth Proportional to 16,177.80, 24,266.70 and 9,624.20

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Solution

The fourth proportional to 16,177.80, 24,266.70 and 9,624.20 is: 14,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.80 : 24,266.70 = 9,624.20 : x
  2. Step 2: Convert to fraction form
    16,177.80/24,266.70 = 9,624.20/x
  3. Step 3: Cross multiply
    16,177.80x = 24,266.70 × 9,624.20
  4. Step 4: Simplify right side
    16,177.80x = 233,547,574.14
  5. Step 5: Solve for x
    x = 233,547,574.14/16,177.80
  6. Step 6: Final answer
    x = 14,436.30

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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.