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Finding the Fourth Proportional to 14,780.25, 22,176.87 and 8,624.25

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Solution

The fourth proportional to 14,780.25, 22,176.87 and 8,624.25 is: 12,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.25 : 22,176.87 = 8,624.25 : x
  2. Step 2: Convert to fraction form
    14,780.25/22,176.87 = 8,624.25/x
  3. Step 3: Cross multiply
    14,780.25x = 22,176.87 × 8,624.25
  4. Step 4: Simplify right side
    14,780.25x = 191,258,871.10
  5. Step 5: Solve for x
    x = 191,258,871.10/14,780.25
  6. Step 6: Final answer
    x = 12,940.16

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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.