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Finding the Fourth Proportional to 19,666.14, 29,498.90 and 7,186.11

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Solution

The fourth proportional to 19,666.14, 29,498.90 and 7,186.11 is: 10,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.14 : 29,498.90 = 7,186.11 : x
  2. Step 2: Convert to fraction form
    19,666.14/29,498.90 = 7,186.11/x
  3. Step 3: Cross multiply
    19,666.14x = 29,498.90 × 7,186.11
  4. Step 4: Simplify right side
    19,666.14x = 211,982,304.35
  5. Step 5: Solve for x
    x = 211,982,304.35/19,666.14
  6. Step 6: Final answer
    x = 10,779.05

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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.