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Finding the Fourth Proportional to 12,302.16, 18,442.27 and 4,509.15

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Solution

The fourth proportional to 12,302.16, 18,442.27 and 4,509.15 is: 6,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.16 : 18,442.27 = 4,509.15 : x
  2. Step 2: Convert to fraction form
    12,302.16/18,442.27 = 4,509.15/x
  3. Step 3: Cross multiply
    12,302.16x = 18,442.27 × 4,509.15
  4. Step 4: Simplify right side
    12,302.16x = 83,158,961.77
  5. Step 5: Solve for x
    x = 83,158,961.77/12,302.16
  6. Step 6: Final answer
    x = 6,759.70

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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.