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Finding the Fourth Proportional to 24,712.30, 37,069.38 and 7,182.28

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Solution

The fourth proportional to 24,712.30, 37,069.38 and 7,182.28 is: 10,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.30 : 37,069.38 = 7,182.28 : x
  2. Step 2: Convert to fraction form
    24,712.30/37,069.38 = 7,182.28/x
  3. Step 3: Cross multiply
    24,712.30x = 37,069.38 × 7,182.28
  4. Step 4: Simplify right side
    24,712.30x = 266,242,666.59
  5. Step 5: Solve for x
    x = 266,242,666.59/24,712.30
  6. Step 6: Final answer
    x = 10,773.69

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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.