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Finding the Fourth Proportional to 21,428, 32,162.78 and 10,342.50

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Solution

The fourth proportional to 21,428, 32,162.78 and 10,342.50 is: 15,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428 : 32,162.78 = 10,342.50 : x
  2. Step 2: Convert to fraction form
    21,428/32,162.78 = 10,342.50/x
  3. Step 3: Cross multiply
    21,428x = 32,162.78 × 10,342.50
  4. Step 4: Simplify right side
    21,428x = 332,643,552.15
  5. Step 5: Solve for x
    x = 332,643,552.15/21,428
  6. Step 6: Final answer
    x = 15,523.78

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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.