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Finding the Fourth Proportional to 21,449.68, 32,152.65 and 13,124.50

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Solution

The fourth proportional to 21,449.68, 32,152.65 and 13,124.50 is: 19,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.68 : 32,152.65 = 13,124.50 : x
  2. Step 2: Convert to fraction form
    21,449.68/32,152.65 = 13,124.50/x
  3. Step 3: Cross multiply
    21,449.68x = 32,152.65 × 13,124.50
  4. Step 4: Simplify right side
    21,449.68x = 421,987,454.93
  5. Step 5: Solve for x
    x = 421,987,454.93/21,449.68
  6. Step 6: Final answer
    x = 19,673.37

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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.