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Finding the Fourth Proportional to 17,886.97, 24,683.92 and 9,820.77

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Solution

The fourth proportional to 17,886.97, 24,683.92 and 9,820.77 is: 13,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.97 : 24,683.92 = 9,820.77 : x
  2. Step 2: Convert to fraction form
    17,886.97/24,683.92 = 9,820.77/x
  3. Step 3: Cross multiply
    17,886.97x = 24,683.92 × 9,820.77
  4. Step 4: Simplify right side
    17,886.97x = 242,415,101.02
  5. Step 5: Solve for x
    x = 242,415,101.02/17,886.97
  6. Step 6: Final answer
    x = 13,552.61

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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.