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Finding the Fourth Proportional to 10,402.65, 14,346.23 and 8,895.86

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Solution

The fourth proportional to 10,402.65, 14,346.23 and 8,895.86 is: 12,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.65 : 14,346.23 = 8,895.86 : x
  2. Step 2: Convert to fraction form
    10,402.65/14,346.23 = 8,895.86/x
  3. Step 3: Cross multiply
    10,402.65x = 14,346.23 × 8,895.86
  4. Step 4: Simplify right side
    10,402.65x = 127,622,053.61
  5. Step 5: Solve for x
    x = 127,622,053.61/10,402.65
  6. Step 6: Final answer
    x = 12,268.23

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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.