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Finding the Fourth Proportional to 24,643.40, 36,969.17 and 7,999.92

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Solution

The fourth proportional to 24,643.40, 36,969.17 and 7,999.92 is: 12,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.40 : 36,969.17 = 7,999.92 : x
  2. Step 2: Convert to fraction form
    24,643.40/36,969.17 = 7,999.92/x
  3. Step 3: Cross multiply
    24,643.40x = 36,969.17 × 7,999.92
  4. Step 4: Simplify right side
    24,643.40x = 295,750,362.47
  5. Step 5: Solve for x
    x = 295,750,362.47/24,643.40
  6. Step 6: Final answer
    x = 12,001.20

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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.