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Finding the Fourth Proportional to 17,987.86, 24,822.34 and 9,922.93

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Solution

The fourth proportional to 17,987.86, 24,822.34 and 9,922.93 is: 13,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,987.86 : 24,822.34 = 9,922.93 : x
  2. Step 2: Convert to fraction form
    17,987.86/24,822.34 = 9,922.93/x
  3. Step 3: Cross multiply
    17,987.86x = 24,822.34 × 9,922.93
  4. Step 4: Simplify right side
    17,987.86x = 246,310,342.26
  5. Step 5: Solve for x
    x = 246,310,342.26/17,987.86
  6. Step 6: Final answer
    x = 13,693.14

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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.