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Finding the Fourth Proportional to 12,842.30, 19,264.73 and 3,482.47

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Solution

The fourth proportional to 12,842.30, 19,264.73 and 3,482.47 is: 5,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.30 : 19,264.73 = 3,482.47 : x
  2. Step 2: Convert to fraction form
    12,842.30/19,264.73 = 3,482.47/x
  3. Step 3: Cross multiply
    12,842.30x = 19,264.73 × 3,482.47
  4. Step 4: Simplify right side
    12,842.30x = 67,088,844.28
  5. Step 5: Solve for x
    x = 67,088,844.28/12,842.30
  6. Step 6: Final answer
    x = 5,224.05

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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.