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Finding the Fourth Proportional to 18,178.32, 27,283.92 and 7,656.15

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Solution

The fourth proportional to 18,178.32, 27,283.92 and 7,656.15 is: 11,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,178.32 : 27,283.92 = 7,656.15 : x
  2. Step 2: Convert to fraction form
    18,178.32/27,283.92 = 7,656.15/x
  3. Step 3: Cross multiply
    18,178.32x = 27,283.92 × 7,656.15
  4. Step 4: Simplify right side
    18,178.32x = 208,889,784.11
  5. Step 5: Solve for x
    x = 208,889,784.11/18,178.32
  6. Step 6: Final answer
    x = 11,491.15

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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.