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Finding the Fourth Proportional to 24,632.84, 36,927.30 and 9,046.82

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Solution

The fourth proportional to 24,632.84, 36,927.30 and 9,046.82 is: 13,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632.84 : 36,927.30 = 9,046.82 : x
  2. Step 2: Convert to fraction form
    24,632.84/36,927.30 = 9,046.82/x
  3. Step 3: Cross multiply
    24,632.84x = 36,927.30 × 9,046.82
  4. Step 4: Simplify right side
    24,632.84x = 334,074,636.19
  5. Step 5: Solve for x
    x = 334,074,636.19/24,632.84
  6. Step 6: Final answer
    x = 13,562.16

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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.