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Finding the Fourth Proportional to 16,386.25, 22,614.95 and 9,313.74

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Solution

The fourth proportional to 16,386.25, 22,614.95 and 9,313.74 is: 12,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.25 : 22,614.95 = 9,313.74 : x
  2. Step 2: Convert to fraction form
    16,386.25/22,614.95 = 9,313.74/x
  3. Step 3: Cross multiply
    16,386.25x = 22,614.95 × 9,313.74
  4. Step 4: Simplify right side
    16,386.25x = 210,629,604.77
  5. Step 5: Solve for x
    x = 210,629,604.77/16,386.25
  6. Step 6: Final answer
    x = 12,854.05

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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.