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Finding the Fourth Proportional to 12,034.71, 18,051.76 and 3,269.40

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Solution

The fourth proportional to 12,034.71, 18,051.76 and 3,269.40 is: 4,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.71 : 18,051.76 = 3,269.40 : x
  2. Step 2: Convert to fraction form
    12,034.71/18,051.76 = 3,269.40/x
  3. Step 3: Cross multiply
    12,034.71x = 18,051.76 × 3,269.40
  4. Step 4: Simplify right side
    12,034.71x = 59,018,424.14
  5. Step 5: Solve for x
    x = 59,018,424.14/12,034.71
  6. Step 6: Final answer
    x = 4,904.02

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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.