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Finding the Fourth Proportional to 15,292.29, 22,933.68 and 7,389.90

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Solution

The fourth proportional to 15,292.29, 22,933.68 and 7,389.90 is: 11,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,292.29 : 22,933.68 = 7,389.90 : x
  2. Step 2: Convert to fraction form
    15,292.29/22,933.68 = 7,389.90/x
  3. Step 3: Cross multiply
    15,292.29x = 22,933.68 × 7,389.90
  4. Step 4: Simplify right side
    15,292.29x = 169,477,601.83
  5. Step 5: Solve for x
    x = 169,477,601.83/15,292.29
  6. Step 6: Final answer
    x = 11,082.55

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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.