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Finding the Fourth Proportional to 24,332.01, 36,497.93 and 5,864.01

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Solution

The fourth proportional to 24,332.01, 36,497.93 and 5,864.01 is: 8,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332.01 : 36,497.93 = 5,864.01 : x
  2. Step 2: Convert to fraction form
    24,332.01/36,497.93 = 5,864.01/x
  3. Step 3: Cross multiply
    24,332.01x = 36,497.93 × 5,864.01
  4. Step 4: Simplify right side
    24,332.01x = 214,024,226.50
  5. Step 5: Solve for x
    x = 214,024,226.50/24,332.01
  6. Step 6: Final answer
    x = 8,795.99

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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.