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Finding the Fourth Proportional to 12,858.32, 19,287.18 and 5,932.80

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Solution

The fourth proportional to 12,858.32, 19,287.18 and 5,932.80 is: 8,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.32 : 19,287.18 = 5,932.80 : x
  2. Step 2: Convert to fraction form
    12,858.32/19,287.18 = 5,932.80/x
  3. Step 3: Cross multiply
    12,858.32x = 19,287.18 × 5,932.80
  4. Step 4: Simplify right side
    12,858.32x = 114,426,981.50
  5. Step 5: Solve for x
    x = 114,426,981.50/12,858.32
  6. Step 6: Final answer
    x = 8,899.06

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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.