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Finding the Fourth Proportional to 26,411.76, 39,569.04 and 16,549.20

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Solution

The fourth proportional to 26,411.76, 39,569.04 and 16,549.20 is: 24,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,411.76 : 39,569.04 = 16,549.20 : x
  2. Step 2: Convert to fraction form
    26,411.76/39,569.04 = 16,549.20/x
  3. Step 3: Cross multiply
    26,411.76x = 39,569.04 × 16,549.20
  4. Step 4: Simplify right side
    26,411.76x = 654,835,956.77
  5. Step 5: Solve for x
    x = 654,835,956.77/26,411.76
  6. Step 6: Final answer
    x = 24,793.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.