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Finding the Fourth Proportional to 14,402.76, 19,876.80 and 8,115.14

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Solution

The fourth proportional to 14,402.76, 19,876.80 and 8,115.14 is: 11,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.76 : 19,876.80 = 8,115.14 : x
  2. Step 2: Convert to fraction form
    14,402.76/19,876.80 = 8,115.14/x
  3. Step 3: Cross multiply
    14,402.76x = 19,876.80 × 8,115.14
  4. Step 4: Simplify right side
    14,402.76x = 161,303,014.75
  5. Step 5: Solve for x
    x = 161,303,014.75/14,402.76
  6. Step 6: Final answer
    x = 11,199.45

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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.