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Finding the Fourth Proportional to 12,865.40, 19,287.30 and 6,709.40

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Solution

The fourth proportional to 12,865.40, 19,287.30 and 6,709.40 is: 10,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.40 : 19,287.30 = 6,709.40 : x
  2. Step 2: Convert to fraction form
    12,865.40/19,287.30 = 6,709.40/x
  3. Step 3: Cross multiply
    12,865.40x = 19,287.30 × 6,709.40
  4. Step 4: Simplify right side
    12,865.40x = 129,406,210.62
  5. Step 5: Solve for x
    x = 129,406,210.62/12,865.40
  6. Step 6: Final answer
    x = 10,058.47

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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.