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Finding the Fourth Proportional to 24,461.80, 36,700.80 and 7,824.40

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Solution

The fourth proportional to 24,461.80, 36,700.80 and 7,824.40 is: 11,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.80 : 36,700.80 = 7,824.40 : x
  2. Step 2: Convert to fraction form
    24,461.80/36,700.80 = 7,824.40/x
  3. Step 3: Cross multiply
    24,461.80x = 36,700.80 × 7,824.40
  4. Step 4: Simplify right side
    24,461.80x = 287,161,739.52
  5. Step 5: Solve for x
    x = 287,161,739.52/24,461.80
  6. Step 6: Final answer
    x = 11,739.19

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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.