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Finding the Fourth Proportional to 10,205.65, 15,326.70 and 9,877.60

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Solution

The fourth proportional to 10,205.65, 15,326.70 and 9,877.60 is: 14,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.65 : 15,326.70 = 9,877.60 : x
  2. Step 2: Convert to fraction form
    10,205.65/15,326.70 = 9,877.60/x
  3. Step 3: Cross multiply
    10,205.65x = 15,326.70 × 9,877.60
  4. Step 4: Simplify right side
    10,205.65x = 151,391,011.92
  5. Step 5: Solve for x
    x = 151,391,011.92/10,205.65
  6. Step 6: Final answer
    x = 14,834.04

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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.