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Finding the Fourth Proportional to 13,066.98, 19,614.32 and 8,140.11

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Solution

The fourth proportional to 13,066.98, 19,614.32 and 8,140.11 is: 12,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.98 : 19,614.32 = 8,140.11 : x
  2. Step 2: Convert to fraction form
    13,066.98/19,614.32 = 8,140.11/x
  3. Step 3: Cross multiply
    13,066.98x = 19,614.32 × 8,140.11
  4. Step 4: Simplify right side
    13,066.98x = 159,662,681.67
  5. Step 5: Solve for x
    x = 159,662,681.67/13,066.98
  6. Step 6: Final answer
    x = 12,218.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.