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Finding the Fourth Proportional to 17,703.36, 24,414.88 and 13,970.88

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Solution

The fourth proportional to 17,703.36, 24,414.88 and 13,970.88 is: 19,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.36 : 24,414.88 = 13,970.88 : x
  2. Step 2: Convert to fraction form
    17,703.36/24,414.88 = 13,970.88/x
  3. Step 3: Cross multiply
    17,703.36x = 24,414.88 × 13,970.88
  4. Step 4: Simplify right side
    17,703.36x = 341,097,358.69
  5. Step 5: Solve for x
    x = 341,097,358.69/17,703.36
  6. Step 6: Final answer
    x = 19,267.38

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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.