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Finding the Fourth Proportional to 11,666.31, 16,089.59 and 9,858.20

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Solution

The fourth proportional to 11,666.31, 16,089.59 and 9,858.20 is: 13,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.31 : 16,089.59 = 9,858.20 : x
  2. Step 2: Convert to fraction form
    11,666.31/16,089.59 = 9,858.20/x
  3. Step 3: Cross multiply
    11,666.31x = 16,089.59 × 9,858.20
  4. Step 4: Simplify right side
    11,666.31x = 158,614,266.40
  5. Step 5: Solve for x
    x = 158,614,266.40/11,666.31
  6. Step 6: Final answer
    x = 13,595.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.