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Finding the Fourth Proportional to 15,856.14, 21,880.86 and 8,782.40

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Solution

The fourth proportional to 15,856.14, 21,880.86 and 8,782.40 is: 12,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.14 : 21,880.86 = 8,782.40 : x
  2. Step 2: Convert to fraction form
    15,856.14/21,880.86 = 8,782.40/x
  3. Step 3: Cross multiply
    15,856.14x = 21,880.86 × 8,782.40
  4. Step 4: Simplify right side
    15,856.14x = 192,166,464.86
  5. Step 5: Solve for x
    x = 192,166,464.86/15,856.14
  6. Step 6: Final answer
    x = 12,119.37

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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.