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Finding the Fourth Proportional to 13,470.95, 18,596.42 and 10,439.23

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Solution

The fourth proportional to 13,470.95, 18,596.42 and 10,439.23 is: 14,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.95 : 18,596.42 = 10,439.23 : x
  2. Step 2: Convert to fraction form
    13,470.95/18,596.42 = 10,439.23/x
  3. Step 3: Cross multiply
    13,470.95x = 18,596.42 × 10,439.23
  4. Step 4: Simplify right side
    13,470.95x = 194,132,160.38
  5. Step 5: Solve for x
    x = 194,132,160.38/13,470.95
  6. Step 6: Final answer
    x = 14,411.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.