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Finding the Fourth Proportional to 15,825.96, 21,838.68 and 8,752.50

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Solution

The fourth proportional to 15,825.96, 21,838.68 and 8,752.50 is: 12,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.96 : 21,838.68 = 8,752.50 : x
  2. Step 2: Convert to fraction form
    15,825.96/21,838.68 = 8,752.50/x
  3. Step 3: Cross multiply
    15,825.96x = 21,838.68 × 8,752.50
  4. Step 4: Simplify right side
    15,825.96x = 191,143,046.70
  5. Step 5: Solve for x
    x = 191,143,046.70/15,825.96
  6. Step 6: Final answer
    x = 12,077.82

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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.