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Finding the Fourth Proportional to 12,632.19, 18,937.88 and 5,034.24

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Solution

The fourth proportional to 12,632.19, 18,937.88 and 5,034.24 is: 7,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.19 : 18,937.88 = 5,034.24 : x
  2. Step 2: Convert to fraction form
    12,632.19/18,937.88 = 5,034.24/x
  3. Step 3: Cross multiply
    12,632.19x = 18,937.88 × 5,034.24
  4. Step 4: Simplify right side
    12,632.19x = 95,337,807.84
  5. Step 5: Solve for x
    x = 95,337,807.84/12,632.19
  6. Step 6: Final answer
    x = 7,547.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.