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Finding the Fourth Proportional to 12,602.18, 18,902.50 and 5,580.14

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Solution

The fourth proportional to 12,602.18, 18,902.50 and 5,580.14 is: 8,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.18 : 18,902.50 = 5,580.14 : x
  2. Step 2: Convert to fraction form
    12,602.18/18,902.50 = 5,580.14/x
  3. Step 3: Cross multiply
    12,602.18x = 18,902.50 × 5,580.14
  4. Step 4: Simplify right side
    12,602.18x = 105,478,629.66
  5. Step 5: Solve for x
    x = 105,478,629.66/12,602.18
  6. Step 6: Final answer
    x = 8,369.88

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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.