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Finding the Fourth Proportional to 16,294, 22,490.84 and 9,668.72

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Solution

The fourth proportional to 16,294, 22,490.84 and 9,668.72 is: 13,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294 : 22,490.84 = 9,668.72 : x
  2. Step 2: Convert to fraction form
    16,294/22,490.84 = 9,668.72/x
  3. Step 3: Cross multiply
    16,294x = 22,490.84 × 9,668.72
  4. Step 4: Simplify right side
    16,294x = 217,457,634.52
  5. Step 5: Solve for x
    x = 217,457,634.52/16,294
  6. Step 6: Final answer
    x = 13,345.87

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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.