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Finding the Fourth Proportional to 15,862.74, 21,899.43 and 10,834.50

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Solution

The fourth proportional to 15,862.74, 21,899.43 and 10,834.50 is: 14,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.74 : 21,899.43 = 10,834.50 : x
  2. Step 2: Convert to fraction form
    15,862.74/21,899.43 = 10,834.50/x
  3. Step 3: Cross multiply
    15,862.74x = 21,899.43 × 10,834.50
  4. Step 4: Simplify right side
    15,862.74x = 237,269,374.34
  5. Step 5: Solve for x
    x = 237,269,374.34/15,862.74
  6. Step 6: Final answer
    x = 14,957.65

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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.