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Finding the Fourth Proportional to 17,449.12, 24,076 and 9,894.56

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Solution

The fourth proportional to 17,449.12, 24,076 and 9,894.56 is: 13,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,449.12 : 24,076 = 9,894.56 : x
  2. Step 2: Convert to fraction form
    17,449.12/24,076 = 9,894.56/x
  3. Step 3: Cross multiply
    17,449.12x = 24,076 × 9,894.56
  4. Step 4: Simplify right side
    17,449.12x = 238,221,426.56
  5. Step 5: Solve for x
    x = 238,221,426.56/17,449.12
  6. Step 6: Final answer
    x = 13,652.35

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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.