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Finding the Fourth Proportional to 15,199.50, 22,756.04 and 12,646.18

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Solution

The fourth proportional to 15,199.50, 22,756.04 and 12,646.18 is: 18,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,199.50 : 22,756.04 = 12,646.18 : x
  2. Step 2: Convert to fraction form
    15,199.50/22,756.04 = 12,646.18/x
  3. Step 3: Cross multiply
    15,199.50x = 22,756.04 × 12,646.18
  4. Step 4: Simplify right side
    15,199.50x = 287,776,862.56
  5. Step 5: Solve for x
    x = 287,776,862.56/15,199.50
  6. Step 6: Final answer
    x = 18,933.31

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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.