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Finding the Fourth Proportional to 16,914.61, 23,346.86 and 9,842.40

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Solution

The fourth proportional to 16,914.61, 23,346.86 and 9,842.40 is: 13,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,914.61 : 23,346.86 = 9,842.40 : x
  2. Step 2: Convert to fraction form
    16,914.61/23,346.86 = 9,842.40/x
  3. Step 3: Cross multiply
    16,914.61x = 23,346.86 × 9,842.40
  4. Step 4: Simplify right side
    16,914.61x = 229,789,085.65
  5. Step 5: Solve for x
    x = 229,789,085.65/16,914.61
  6. Step 6: Final answer
    x = 13,585.24

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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.