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Finding the Fourth Proportional to 12,159.99, 16,782.35 and 6,856.52

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Solution

The fourth proportional to 12,159.99, 16,782.35 and 6,856.52 is: 9,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.99 : 16,782.35 = 6,856.52 : x
  2. Step 2: Convert to fraction form
    12,159.99/16,782.35 = 6,856.52/x
  3. Step 3: Cross multiply
    12,159.99x = 16,782.35 × 6,856.52
  4. Step 4: Simplify right side
    12,159.99x = 115,068,400.23
  5. Step 5: Solve for x
    x = 115,068,400.23/12,159.99
  6. Step 6: Final answer
    x = 9,462.87

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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.