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Finding the Fourth Proportional to 16,417.76, 22,657.66 and 9,344.19

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Solution

The fourth proportional to 16,417.76, 22,657.66 and 9,344.19 is: 12,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.76 : 22,657.66 = 9,344.19 : x
  2. Step 2: Convert to fraction form
    16,417.76/22,657.66 = 9,344.19/x
  3. Step 3: Cross multiply
    16,417.76x = 22,657.66 × 9,344.19
  4. Step 4: Simplify right side
    16,417.76x = 211,717,389.85
  5. Step 5: Solve for x
    x = 211,717,389.85/16,417.76
  6. Step 6: Final answer
    x = 12,895.63

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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.