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Finding the Fourth Proportional to 24,585.70, 36,852.73 and 13,489.11

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Solution

The fourth proportional to 24,585.70, 36,852.73 and 13,489.11 is: 20,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,585.70 : 36,852.73 = 13,489.11 : x
  2. Step 2: Convert to fraction form
    24,585.70/36,852.73 = 13,489.11/x
  3. Step 3: Cross multiply
    24,585.70x = 36,852.73 × 13,489.11
  4. Step 4: Simplify right side
    24,585.70x = 497,110,528.77
  5. Step 5: Solve for x
    x = 497,110,528.77/24,585.70
  6. Step 6: Final answer
    x = 20,219.50

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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.