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Finding the Fourth Proportional to 19,652.40, 29,365.02 and 16,542

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Solution

The fourth proportional to 19,652.40, 29,365.02 and 16,542 is: 24,717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652.40 : 29,365.02 = 16,542 : x
  2. Step 2: Convert to fraction form
    19,652.40/29,365.02 = 16,542/x
  3. Step 3: Cross multiply
    19,652.40x = 29,365.02 × 16,542
  4. Step 4: Simplify right side
    19,652.40x = 485,756,160.84
  5. Step 5: Solve for x
    x = 485,756,160.84/19,652.40
  6. Step 6: Final answer
    x = 24,717.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.