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Finding the Fourth Proportional to 14,387.85, 19,856.25 and 8,014.86

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Solution

The fourth proportional to 14,387.85, 19,856.25 and 8,014.86 is: 11,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,387.85 : 19,856.25 = 8,014.86 : x
  2. Step 2: Convert to fraction form
    14,387.85/19,856.25 = 8,014.86/x
  3. Step 3: Cross multiply
    14,387.85x = 19,856.25 × 8,014.86
  4. Step 4: Simplify right side
    14,387.85x = 159,145,063.88
  5. Step 5: Solve for x
    x = 159,145,063.88/14,387.85
  6. Step 6: Final answer
    x = 11,061.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.