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Finding the Fourth Proportional to 12,927.68, 19,393.32 and 6,354.12

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Solution

The fourth proportional to 12,927.68, 19,393.32 and 6,354.12 is: 9,532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.68 : 19,393.32 = 6,354.12 : x
  2. Step 2: Convert to fraction form
    12,927.68/19,393.32 = 6,354.12/x
  3. Step 3: Cross multiply
    12,927.68x = 19,393.32 × 6,354.12
  4. Step 4: Simplify right side
    12,927.68x = 123,227,482.48
  5. Step 5: Solve for x
    x = 123,227,482.48/12,927.68
  6. Step 6: Final answer
    x = 9,532.06

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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.