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Finding the Fourth Proportional to 24,718.32, 37,085.40 and 7,189.20

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Solution

The fourth proportional to 24,718.32, 37,085.40 and 7,189.20 is: 10,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,718.32 : 37,085.40 = 7,189.20 : x
  2. Step 2: Convert to fraction form
    24,718.32/37,085.40 = 7,189.20/x
  3. Step 3: Cross multiply
    24,718.32x = 37,085.40 × 7,189.20
  4. Step 4: Simplify right side
    24,718.32x = 266,614,357.68
  5. Step 5: Solve for x
    x = 266,614,357.68/24,718.32
  6. Step 6: Final answer
    x = 10,786.10

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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.