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Finding the Fourth Proportional to 30,177.60, 41,638.34 and 17,428

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Solution

The fourth proportional to 30,177.60, 41,638.34 and 17,428 is: 24,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177.60 : 41,638.34 = 17,428 : x
  2. Step 2: Convert to fraction form
    30,177.60/41,638.34 = 17,428/x
  3. Step 3: Cross multiply
    30,177.60x = 41,638.34 × 17,428
  4. Step 4: Simplify right side
    30,177.60x = 725,672,989.52
  5. Step 5: Solve for x
    x = 725,672,989.52/30,177.60
  6. Step 6: Final answer
    x = 24,046.74

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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.