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Finding the Fourth Proportional to 10,242.36, 14,153.04 and 8,842.68

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Solution

The fourth proportional to 10,242.36, 14,153.04 and 8,842.68 is: 12,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.36 : 14,153.04 = 8,842.68 : x
  2. Step 2: Convert to fraction form
    10,242.36/14,153.04 = 8,842.68/x
  3. Step 3: Cross multiply
    10,242.36x = 14,153.04 × 8,842.68
  4. Step 4: Simplify right side
    10,242.36x = 125,150,803.75
  5. Step 5: Solve for x
    x = 125,150,803.75/10,242.36
  6. Step 6: Final answer
    x = 12,218.94

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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.