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Finding the Fourth Proportional to 16,386.94, 22,615.89 and 9,314.42

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Solution

The fourth proportional to 16,386.94, 22,615.89 and 9,314.42 is: 12,854.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.94 : 22,615.89 = 9,314.42 : x
  2. Step 2: Convert to fraction form
    16,386.94/22,615.89 = 9,314.42/x
  3. Step 3: Cross multiply
    16,386.94x = 22,615.89 × 9,314.42
  4. Step 4: Simplify right side
    16,386.94x = 210,653,898.13
  5. Step 5: Solve for x
    x = 210,653,898.13/16,386.94
  6. Step 6: Final answer
    x = 12,854.99

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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.