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Finding the Fourth Proportional to 15,109.71, 22,641.47 and 6,339.84

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Solution

The fourth proportional to 15,109.71, 22,641.47 and 6,339.84 is: 9,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,109.71 : 22,641.47 = 6,339.84 : x
  2. Step 2: Convert to fraction form
    15,109.71/22,641.47 = 6,339.84/x
  3. Step 3: Cross multiply
    15,109.71x = 22,641.47 × 6,339.84
  4. Step 4: Simplify right side
    15,109.71x = 143,543,297.16
  5. Step 5: Solve for x
    x = 143,543,297.16/15,109.71
  6. Step 6: Final answer
    x = 9,500.07

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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.