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Finding the Fourth Proportional to 15,837.40, 23,813.70 and 15,491.80

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Solution

The fourth proportional to 15,837.40, 23,813.70 and 15,491.80 is: 23,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837.40 : 23,813.70 = 15,491.80 : x
  2. Step 2: Convert to fraction form
    15,837.40/23,813.70 = 15,491.80/x
  3. Step 3: Cross multiply
    15,837.40x = 23,813.70 × 15,491.80
  4. Step 4: Simplify right side
    15,837.40x = 368,917,077.66
  5. Step 5: Solve for x
    x = 368,917,077.66/15,837.40
  6. Step 6: Final answer
    x = 23,294.04

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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.