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Finding the Fourth Proportional to 13,061.40, 19,594.02 and 4,294.20

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Solution

The fourth proportional to 13,061.40, 19,594.02 and 4,294.20 is: 6,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,061.40 : 19,594.02 = 4,294.20 : x
  2. Step 2: Convert to fraction form
    13,061.40/19,594.02 = 4,294.20/x
  3. Step 3: Cross multiply
    13,061.40x = 19,594.02 × 4,294.20
  4. Step 4: Simplify right side
    13,061.40x = 84,140,640.68
  5. Step 5: Solve for x
    x = 84,140,640.68/13,061.40
  6. Step 6: Final answer
    x = 6,441.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.