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Finding the Fourth Proportional to 12,228.95, 18,346.23 and 4,437.77

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Solution

The fourth proportional to 12,228.95, 18,346.23 and 4,437.77 is: 6,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.95 : 18,346.23 = 4,437.77 : x
  2. Step 2: Convert to fraction form
    12,228.95/18,346.23 = 4,437.77/x
  3. Step 3: Cross multiply
    12,228.95x = 18,346.23 × 4,437.77
  4. Step 4: Simplify right side
    12,228.95x = 81,416,257.38
  5. Step 5: Solve for x
    x = 81,416,257.38/12,228.95
  6. Step 6: Final answer
    x = 6,657.66

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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.