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Finding the Fourth Proportional to 13,188.71, 19,780.94 and 4,872.65

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Solution

The fourth proportional to 13,188.71, 19,780.94 and 4,872.65 is: 7,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.71 : 19,780.94 = 4,872.65 : x
  2. Step 2: Convert to fraction form
    13,188.71/19,780.94 = 4,872.65/x
  3. Step 3: Cross multiply
    13,188.71x = 19,780.94 × 4,872.65
  4. Step 4: Simplify right side
    13,188.71x = 96,385,510.57
  5. Step 5: Solve for x
    x = 96,385,510.57/13,188.71
  6. Step 6: Final answer
    x = 7,308.18

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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.