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Finding the Fourth Proportional to 12,152.40, 18,228.60 and 9,199.95

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Solution

The fourth proportional to 12,152.40, 18,228.60 and 9,199.95 is: 13,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.40 : 18,228.60 = 9,199.95 : x
  2. Step 2: Convert to fraction form
    12,152.40/18,228.60 = 9,199.95/x
  3. Step 3: Cross multiply
    12,152.40x = 18,228.60 × 9,199.95
  4. Step 4: Simplify right side
    12,152.40x = 167,702,208.57
  5. Step 5: Solve for x
    x = 167,702,208.57/12,152.40
  6. Step 6: Final answer
    x = 13,799.93

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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.