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Finding the Fourth Proportional to 24,858.83, 37,293.75 and 11,540

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Solution

The fourth proportional to 24,858.83, 37,293.75 and 11,540 is: 17,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858.83 : 37,293.75 = 11,540 : x
  2. Step 2: Convert to fraction form
    24,858.83/37,293.75 = 11,540/x
  3. Step 3: Cross multiply
    24,858.83x = 37,293.75 × 11,540
  4. Step 4: Simplify right side
    24,858.83x = 430,369,875
  5. Step 5: Solve for x
    x = 430,369,875/24,858.83
  6. Step 6: Final answer
    x = 17,312.56

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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.