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Finding the Fourth Proportional to 24,786.72, 37,187.36 and 9,988.02

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Solution

The fourth proportional to 24,786.72, 37,187.36 and 9,988.02 is: 14,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786.72 : 37,187.36 = 9,988.02 : x
  2. Step 2: Convert to fraction form
    24,786.72/37,187.36 = 9,988.02/x
  3. Step 3: Cross multiply
    24,786.72x = 37,187.36 × 9,988.02
  4. Step 4: Simplify right side
    24,786.72x = 371,428,095.43
  5. Step 5: Solve for x
    x = 371,428,095.43/24,786.72
  6. Step 6: Final answer
    x = 14,984.96

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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.