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Finding the Fourth Proportional to 13,186.32, 19,760.04 and 7,341.36

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Solution

The fourth proportional to 13,186.32, 19,760.04 and 7,341.36 is: 11,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.32 : 19,760.04 = 7,341.36 : x
  2. Step 2: Convert to fraction form
    13,186.32/19,760.04 = 7,341.36/x
  3. Step 3: Cross multiply
    13,186.32x = 19,760.04 × 7,341.36
  4. Step 4: Simplify right side
    13,186.32x = 145,065,567.25
  5. Step 5: Solve for x
    x = 145,065,567.25/13,186.32
  6. Step 6: Final answer
    x = 11,001.22

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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.