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Finding the Fourth Proportional to 25,622.76, 38,429.28 and 10,842

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Solution

The fourth proportional to 25,622.76, 38,429.28 and 10,842 is: 16,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,622.76 : 38,429.28 = 10,842 : x
  2. Step 2: Convert to fraction form
    25,622.76/38,429.28 = 10,842/x
  3. Step 3: Cross multiply
    25,622.76x = 38,429.28 × 10,842
  4. Step 4: Simplify right side
    25,622.76x = 416,650,253.76
  5. Step 5: Solve for x
    x = 416,650,253.76/25,622.76
  6. Step 6: Final answer
    x = 16,260.94

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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.