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Finding the Fourth Proportional to 12,695.84, 19,045.97 and 5,305.50

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Solution

The fourth proportional to 12,695.84, 19,045.97 and 5,305.50 is: 7,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.84 : 19,045.97 = 5,305.50 : x
  2. Step 2: Convert to fraction form
    12,695.84/19,045.97 = 5,305.50/x
  3. Step 3: Cross multiply
    12,695.84x = 19,045.97 × 5,305.50
  4. Step 4: Simplify right side
    12,695.84x = 101,048,387.20
  5. Step 5: Solve for x
    x = 101,048,387.20/12,695.84
  6. Step 6: Final answer
    x = 7,959.17

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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.