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Finding the Fourth Proportional to 15,901.65, 21,943.85 and 9,531.84

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Solution

The fourth proportional to 15,901.65, 21,943.85 and 9,531.84 is: 13,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.65 : 21,943.85 = 9,531.84 : x
  2. Step 2: Convert to fraction form
    15,901.65/21,943.85 = 9,531.84/x
  3. Step 3: Cross multiply
    15,901.65x = 21,943.85 × 9,531.84
  4. Step 4: Simplify right side
    15,901.65x = 209,165,109.81
  5. Step 5: Solve for x
    x = 209,165,109.81/15,901.65
  6. Step 6: Final answer
    x = 13,153.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.