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Finding the Fourth Proportional to 18,049.12, 24,907.60 and 9,983.12

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Solution

The fourth proportional to 18,049.12, 24,907.60 and 9,983.12 is: 13,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,049.12 : 24,907.60 = 9,983.12 : x
  2. Step 2: Convert to fraction form
    18,049.12/24,907.60 = 9,983.12/x
  3. Step 3: Cross multiply
    18,049.12x = 24,907.60 × 9,983.12
  4. Step 4: Simplify right side
    18,049.12x = 248,655,559.71
  5. Step 5: Solve for x
    x = 248,655,559.71/18,049.12
  6. Step 6: Final answer
    x = 13,776.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.