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Finding the Fourth Proportional to 16,187.40, 24,281.10 and 7,439.40

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Solution

The fourth proportional to 16,187.40, 24,281.10 and 7,439.40 is: 11,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.40 : 24,281.10 = 7,439.40 : x
  2. Step 2: Convert to fraction form
    16,187.40/24,281.10 = 7,439.40/x
  3. Step 3: Cross multiply
    16,187.40x = 24,281.10 × 7,439.40
  4. Step 4: Simplify right side
    16,187.40x = 180,636,815.34
  5. Step 5: Solve for x
    x = 180,636,815.34/16,187.40
  6. Step 6: Final answer
    x = 11,159.10

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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.