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Finding the Fourth Proportional to 23,154.50, 34,731.76 and 7,572.12

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Solution

The fourth proportional to 23,154.50, 34,731.76 and 7,572.12 is: 11,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.50 : 34,731.76 = 7,572.12 : x
  2. Step 2: Convert to fraction form
    23,154.50/34,731.76 = 7,572.12/x
  3. Step 3: Cross multiply
    23,154.50x = 34,731.76 × 7,572.12
  4. Step 4: Simplify right side
    23,154.50x = 262,993,054.53
  5. Step 5: Solve for x
    x = 262,993,054.53/23,154.50
  6. Step 6: Final answer
    x = 11,358.18

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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.