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Finding the Fourth Proportional to 24,726.36, 37,079.54 and 15,352.50

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Solution

The fourth proportional to 24,726.36, 37,079.54 and 15,352.50 is: 23,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,726.36 : 37,079.54 = 15,352.50 : x
  2. Step 2: Convert to fraction form
    24,726.36/37,079.54 = 15,352.50/x
  3. Step 3: Cross multiply
    24,726.36x = 37,079.54 × 15,352.50
  4. Step 4: Simplify right side
    24,726.36x = 569,263,637.85
  5. Step 5: Solve for x
    x = 569,263,637.85/24,726.36
  6. Step 6: Final answer
    x = 23,022.54

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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.