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Finding the Fourth Proportional to 24,397.50, 36,601.41 and 9,405.01

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Solution

The fourth proportional to 24,397.50, 36,601.41 and 9,405.01 is: 14,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.50 : 36,601.41 = 9,405.01 : x
  2. Step 2: Convert to fraction form
    24,397.50/36,601.41 = 9,405.01/x
  3. Step 3: Cross multiply
    24,397.50x = 36,601.41 × 9,405.01
  4. Step 4: Simplify right side
    24,397.50x = 344,236,444.06
  5. Step 5: Solve for x
    x = 344,236,444.06/24,397.50
  6. Step 6: Final answer
    x = 14,109.50

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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.