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Finding the Fourth Proportional to 10,301.76, 14,205.96 and 8,814.60

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Solution

The fourth proportional to 10,301.76, 14,205.96 and 8,814.60 is: 12,155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.76 : 14,205.96 = 8,814.60 : x
  2. Step 2: Convert to fraction form
    10,301.76/14,205.96 = 8,814.60/x
  3. Step 3: Cross multiply
    10,301.76x = 14,205.96 × 8,814.60
  4. Step 4: Simplify right side
    10,301.76x = 125,219,855.02
  5. Step 5: Solve for x
    x = 125,219,855.02/10,301.76
  6. Step 6: Final answer
    x = 12,155.19

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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.