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Finding the Fourth Proportional to 15,209.60, 22,815.21 and 4,822.16

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Solution

The fourth proportional to 15,209.60, 22,815.21 and 4,822.16 is: 7,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.60 : 22,815.21 = 4,822.16 : x
  2. Step 2: Convert to fraction form
    15,209.60/22,815.21 = 4,822.16/x
  3. Step 3: Cross multiply
    15,209.60x = 22,815.21 × 4,822.16
  4. Step 4: Simplify right side
    15,209.60x = 110,018,478.98
  5. Step 5: Solve for x
    x = 110,018,478.98/15,209.60
  6. Step 6: Final answer
    x = 7,233.49

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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.