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Finding the Fourth Proportional to 24,362.90, 36,545.66 and 7,724.24

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Solution

The fourth proportional to 24,362.90, 36,545.66 and 7,724.24 is: 11,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.90 : 36,545.66 = 7,724.24 : x
  2. Step 2: Convert to fraction form
    24,362.90/36,545.66 = 7,724.24/x
  3. Step 3: Cross multiply
    24,362.90x = 36,545.66 × 7,724.24
  4. Step 4: Simplify right side
    24,362.90x = 282,287,227.45
  5. Step 5: Solve for x
    x = 282,287,227.45/24,362.90
  6. Step 6: Final answer
    x = 11,586.77

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1.5x scale

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.