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Finding the Fourth Proportional to 24,970.48, 37,465.54 and 11,833.90

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Solution

The fourth proportional to 24,970.48, 37,465.54 and 11,833.90 is: 17,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,970.48 : 37,465.54 = 11,833.90 : x
  2. Step 2: Convert to fraction form
    24,970.48/37,465.54 = 11,833.90/x
  3. Step 3: Cross multiply
    24,970.48x = 37,465.54 × 11,833.90
  4. Step 4: Simplify right side
    24,970.48x = 443,363,330.56
  5. Step 5: Solve for x
    x = 443,363,330.56/24,970.48
  6. Step 6: Final answer
    x = 17,755.50

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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.