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Finding the Fourth Proportional to 16,347.86, 22,559.46 and 9,275.66

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Solution

The fourth proportional to 16,347.86, 22,559.46 and 9,275.66 is: 12,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.86 : 22,559.46 = 9,275.66 : x
  2. Step 2: Convert to fraction form
    16,347.86/22,559.46 = 9,275.66/x
  3. Step 3: Cross multiply
    16,347.86x = 22,559.46 × 9,275.66
  4. Step 4: Simplify right side
    16,347.86x = 209,253,880.74
  5. Step 5: Solve for x
    x = 209,253,880.74/16,347.86
  6. Step 6: Final answer
    x = 12,800.08

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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.