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Finding the Fourth Proportional to 12,014.16, 18,010.30 and 5,436.76

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Solution

The fourth proportional to 12,014.16, 18,010.30 and 5,436.76 is: 8,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.16 : 18,010.30 = 5,436.76 : x
  2. Step 2: Convert to fraction form
    12,014.16/18,010.30 = 5,436.76/x
  3. Step 3: Cross multiply
    12,014.16x = 18,010.30 × 5,436.76
  4. Step 4: Simplify right side
    12,014.16x = 97,917,678.63
  5. Step 5: Solve for x
    x = 97,917,678.63/12,014.16
  6. Step 6: Final answer
    x = 8,150.19

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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.