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Finding the Fourth Proportional to 21,378.42, 32,074.13 and 15,150.50

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Solution

The fourth proportional to 21,378.42, 32,074.13 and 15,150.50 is: 22,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.42 : 32,074.13 = 15,150.50 : x
  2. Step 2: Convert to fraction form
    21,378.42/32,074.13 = 15,150.50/x
  3. Step 3: Cross multiply
    21,378.42x = 32,074.13 × 15,150.50
  4. Step 4: Simplify right side
    21,378.42x = 485,938,870.44
  5. Step 5: Solve for x
    x = 485,938,870.44/21,378.42
  6. Step 6: Final answer
    x = 22,730.35

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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.