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Finding the Fourth Proportional to 12,895.85, 19,318.87 and 9,512.68

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Solution

The fourth proportional to 12,895.85, 19,318.87 and 9,512.68 is: 14,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,895.85 : 19,318.87 = 9,512.68 : x
  2. Step 2: Convert to fraction form
    12,895.85/19,318.87 = 9,512.68/x
  3. Step 3: Cross multiply
    12,895.85x = 19,318.87 × 9,512.68
  4. Step 4: Simplify right side
    12,895.85x = 183,774,242.29
  5. Step 5: Solve for x
    x = 183,774,242.29/12,895.85
  6. Step 6: Final answer
    x = 14,250.65

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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.