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Finding the Fourth Proportional to 24,460.22, 36,687.26 and 7,818.87

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Solution

The fourth proportional to 24,460.22, 36,687.26 and 7,818.87 is: 11,727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,460.22 : 36,687.26 = 7,818.87 : x
  2. Step 2: Convert to fraction form
    24,460.22/36,687.26 = 7,818.87/x
  3. Step 3: Cross multiply
    24,460.22x = 36,687.26 × 7,818.87
  4. Step 4: Simplify right side
    24,460.22x = 286,852,877.50
  5. Step 5: Solve for x
    x = 286,852,877.50/24,460.22
  6. Step 6: Final answer
    x = 11,727.32

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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.