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Finding the Fourth Proportional to 22,117.86, 30,523.93 and 16,657.16

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Solution

The fourth proportional to 22,117.86, 30,523.93 and 16,657.16 is: 22,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,117.86 : 30,523.93 = 16,657.16 : x
  2. Step 2: Convert to fraction form
    22,117.86/30,523.93 = 16,657.16/x
  3. Step 3: Cross multiply
    22,117.86x = 30,523.93 × 16,657.16
  4. Step 4: Simplify right side
    22,117.86x = 508,441,791.58
  5. Step 5: Solve for x
    x = 508,441,791.58/22,117.86
  6. Step 6: Final answer
    x = 22,987.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.