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Finding the Fourth Proportional to 16,894.65, 23,314.50 and 9,442.65

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Solution

The fourth proportional to 16,894.65, 23,314.50 and 9,442.65 is: 13,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.65 : 23,314.50 = 9,442.65 : x
  2. Step 2: Convert to fraction form
    16,894.65/23,314.50 = 9,442.65/x
  3. Step 3: Cross multiply
    16,894.65x = 23,314.50 × 9,442.65
  4. Step 4: Simplify right side
    16,894.65x = 220,150,663.43
  5. Step 5: Solve for x
    x = 220,150,663.43/16,894.65
  6. Step 6: Final answer
    x = 13,030.79

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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.