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Finding the Fourth Proportional to 17,402.62, 24,014.16 and 9,848.56

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Solution

The fourth proportional to 17,402.62, 24,014.16 and 9,848.56 is: 13,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,402.62 : 24,014.16 = 9,848.56 : x
  2. Step 2: Convert to fraction form
    17,402.62/24,014.16 = 9,848.56/x
  3. Step 3: Cross multiply
    17,402.62x = 24,014.16 × 9,848.56
  4. Step 4: Simplify right side
    17,402.62x = 236,504,895.61
  5. Step 5: Solve for x
    x = 236,504,895.61/17,402.62
  6. Step 6: Final answer
    x = 13,590.19

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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.