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Finding the Fourth Proportional to 13,760.70, 18,990.72 and 10,397.58

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Solution

The fourth proportional to 13,760.70, 18,990.72 and 10,397.58 is: 14,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.70 : 18,990.72 = 10,397.58 : x
  2. Step 2: Convert to fraction form
    13,760.70/18,990.72 = 10,397.58/x
  3. Step 3: Cross multiply
    13,760.70x = 18,990.72 × 10,397.58
  4. Step 4: Simplify right side
    13,760.70x = 197,457,530.46
  5. Step 5: Solve for x
    x = 197,457,530.46/13,760.70
  6. Step 6: Final answer
    x = 14,349.38

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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.