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Finding the Fourth Proportional to 12,570.12, 18,838.16 and 4,774.68

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Solution

The fourth proportional to 12,570.12, 18,838.16 and 4,774.68 is: 7,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.12 : 18,838.16 = 4,774.68 : x
  2. Step 2: Convert to fraction form
    12,570.12/18,838.16 = 4,774.68/x
  3. Step 3: Cross multiply
    12,570.12x = 18,838.16 × 4,774.68
  4. Step 4: Simplify right side
    12,570.12x = 89,946,197.73
  5. Step 5: Solve for x
    x = 89,946,197.73/12,570.12
  6. Step 6: Final answer
    x = 7,155.56

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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.