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Finding the Fourth Proportional to 10,194.13, 14,095.65 and 8,881.93

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Solution

The fourth proportional to 10,194.13, 14,095.65 and 8,881.93 is: 12,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.13 : 14,095.65 = 8,881.93 : x
  2. Step 2: Convert to fraction form
    10,194.13/14,095.65 = 8,881.93/x
  3. Step 3: Cross multiply
    10,194.13x = 14,095.65 × 8,881.93
  4. Step 4: Simplify right side
    10,194.13x = 125,196,576.60
  5. Step 5: Solve for x
    x = 125,196,576.60/10,194.13
  6. Step 6: Final answer
    x = 12,281.24

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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.