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Finding the Fourth Proportional to 12,595.84, 18,902.25 and 5,200.14

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Solution

The fourth proportional to 12,595.84, 18,902.25 and 5,200.14 is: 7,803.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.84 : 18,902.25 = 5,200.14 : x
  2. Step 2: Convert to fraction form
    12,595.84/18,902.25 = 5,200.14/x
  3. Step 3: Cross multiply
    12,595.84x = 18,902.25 × 5,200.14
  4. Step 4: Simplify right side
    12,595.84x = 98,294,346.32
  5. Step 5: Solve for x
    x = 98,294,346.32/12,595.84
  6. Step 6: Final answer
    x = 7,803.72

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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.