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Finding the Fourth Proportional to 24,559.20, 36,825.84 and 7,916.40

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Solution

The fourth proportional to 24,559.20, 36,825.84 and 7,916.40 is: 11,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,559.20 : 36,825.84 = 7,916.40 : x
  2. Step 2: Convert to fraction form
    24,559.20/36,825.84 = 7,916.40/x
  3. Step 3: Cross multiply
    24,559.20x = 36,825.84 × 7,916.40
  4. Step 4: Simplify right side
    24,559.20x = 291,528,079.78
  5. Step 5: Solve for x
    x = 291,528,079.78/24,559.20
  6. Step 6: Final answer
    x = 11,870.42

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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.