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Finding the Fourth Proportional to 17,438, 24,059.12 and 9,883.12

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Solution

The fourth proportional to 17,438, 24,059.12 and 9,883.12 is: 13,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438 : 24,059.12 = 9,883.12 : x
  2. Step 2: Convert to fraction form
    17,438/24,059.12 = 9,883.12/x
  3. Step 3: Cross multiply
    17,438x = 24,059.12 × 9,883.12
  4. Step 4: Simplify right side
    17,438x = 237,779,170.05
  5. Step 5: Solve for x
    x = 237,779,170.05/17,438
  6. Step 6: Final answer
    x = 13,635.69

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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.