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Finding the Fourth Proportional to 15,827.68, 23,743.95 and 5,437

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Solution

The fourth proportional to 15,827.68, 23,743.95 and 5,437 is: 8,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.68 : 23,743.95 = 5,437 : x
  2. Step 2: Convert to fraction form
    15,827.68/23,743.95 = 5,437/x
  3. Step 3: Cross multiply
    15,827.68x = 23,743.95 × 5,437
  4. Step 4: Simplify right side
    15,827.68x = 129,095,856.15
  5. Step 5: Solve for x
    x = 129,095,856.15/15,827.68
  6. Step 6: Final answer
    x = 8,156.33

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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.