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Finding the Fourth Proportional to 24,471.60, 36,689.40 and 7,822.02

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Solution

The fourth proportional to 24,471.60, 36,689.40 and 7,822.02 is: 11,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.60 : 36,689.40 = 7,822.02 : x
  2. Step 2: Convert to fraction form
    24,471.60/36,689.40 = 7,822.02/x
  3. Step 3: Cross multiply
    24,471.60x = 36,689.40 × 7,822.02
  4. Step 4: Simplify right side
    24,471.60x = 286,985,220.59
  5. Step 5: Solve for x
    x = 286,985,220.59/24,471.60
  6. Step 6: Final answer
    x = 11,727.28

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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.