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Finding the Fourth Proportional to 16,417.86, 22,657.62 and 9,344.33

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Solution

The fourth proportional to 16,417.86, 22,657.62 and 9,344.33 is: 12,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.86 : 22,657.62 = 9,344.33 : x
  2. Step 2: Convert to fraction form
    16,417.86/22,657.62 = 9,344.33/x
  3. Step 3: Cross multiply
    16,417.86x = 22,657.62 × 9,344.33
  4. Step 4: Simplify right side
    16,417.86x = 211,720,165.01
  5. Step 5: Solve for x
    x = 211,720,165.01/16,417.86
  6. Step 6: Final answer
    x = 12,895.72

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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.