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Finding the Fourth Proportional to 15,009.50, 22,522.25 and 8,436.15

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Solution

The fourth proportional to 15,009.50, 22,522.25 and 8,436.15 is: 12,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,009.50 : 22,522.25 = 8,436.15 : x
  2. Step 2: Convert to fraction form
    15,009.50/22,522.25 = 8,436.15/x
  3. Step 3: Cross multiply
    15,009.50x = 22,522.25 × 8,436.15
  4. Step 4: Simplify right side
    15,009.50x = 190,001,100.43
  5. Step 5: Solve for x
    x = 190,001,100.43/15,009.50
  6. Step 6: Final answer
    x = 12,658.72

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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.