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Finding the Fourth Proportional to 24,988, 37,491.72 and 9,406.84

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Solution

The fourth proportional to 24,988, 37,491.72 and 9,406.84 is: 14,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,988 : 37,491.72 = 9,406.84 : x
  2. Step 2: Convert to fraction form
    24,988/37,491.72 = 9,406.84/x
  3. Step 3: Cross multiply
    24,988x = 37,491.72 × 9,406.84
  4. Step 4: Simplify right side
    24,988x = 352,678,611.36
  5. Step 5: Solve for x
    x = 352,678,611.36/24,988
  6. Step 6: Final answer
    x = 14,113.92

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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.