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Finding the Fourth Proportional to 11,888.34, 17,816.58 and 9,259.08

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Solution

The fourth proportional to 11,888.34, 17,816.58 and 9,259.08 is: 13,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.34 : 17,816.58 = 9,259.08 : x
  2. Step 2: Convert to fraction form
    11,888.34/17,816.58 = 9,259.08/x
  3. Step 3: Cross multiply
    11,888.34x = 17,816.58 × 9,259.08
  4. Step 4: Simplify right side
    11,888.34x = 164,965,139.55
  5. Step 5: Solve for x
    x = 164,965,139.55/11,888.34
  6. Step 6: Final answer
    x = 13,876.21

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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.