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Finding the Fourth Proportional to 11,111.64, 16,670.34 and 9,140.52

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Solution

The fourth proportional to 11,111.64, 16,670.34 and 9,140.52 is: 13,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,111.64 : 16,670.34 = 9,140.52 : x
  2. Step 2: Convert to fraction form
    11,111.64/16,670.34 = 9,140.52/x
  3. Step 3: Cross multiply
    11,111.64x = 16,670.34 × 9,140.52
  4. Step 4: Simplify right side
    11,111.64x = 152,375,576.18
  5. Step 5: Solve for x
    x = 152,375,576.18/11,111.64
  6. Step 6: Final answer
    x = 13,713.15

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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.