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Finding the Fourth Proportional to 18,281.76, 27,424.08 and 6,596.16

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Solution

The fourth proportional to 18,281.76, 27,424.08 and 6,596.16 is: 9,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,281.76 : 27,424.08 = 6,596.16 : x
  2. Step 2: Convert to fraction form
    18,281.76/27,424.08 = 6,596.16/x
  3. Step 3: Cross multiply
    18,281.76x = 27,424.08 × 6,596.16
  4. Step 4: Simplify right side
    18,281.76x = 180,893,619.53
  5. Step 5: Solve for x
    x = 180,893,619.53/18,281.76
  6. Step 6: Final answer
    x = 9,894.76

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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.