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Finding the Fourth Proportional to 24,362.50, 36,544.95 and 7,946.50

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Solution

The fourth proportional to 24,362.50, 36,544.95 and 7,946.50 is: 11,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.50 : 36,544.95 = 7,946.50 : x
  2. Step 2: Convert to fraction form
    24,362.50/36,544.95 = 7,946.50/x
  3. Step 3: Cross multiply
    24,362.50x = 36,544.95 × 7,946.50
  4. Step 4: Simplify right side
    24,362.50x = 290,404,445.18
  5. Step 5: Solve for x
    x = 290,404,445.18/24,362.50
  6. Step 6: Final answer
    x = 11,920.14

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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.