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Finding the Fourth Proportional to 11,507.65, 17,165.87 and 11,317.35

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Solution

The fourth proportional to 11,507.65, 17,165.87 and 11,317.35 is: 16,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.65 : 17,165.87 = 11,317.35 : x
  2. Step 2: Convert to fraction form
    11,507.65/17,165.87 = 11,317.35/x
  3. Step 3: Cross multiply
    11,507.65x = 17,165.87 × 11,317.35
  4. Step 4: Simplify right side
    11,507.65x = 194,272,177.24
  5. Step 5: Solve for x
    x = 194,272,177.24/11,507.65
  6. Step 6: Final answer
    x = 16,882.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.