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Finding the Fourth Proportional to 17,896, 24,699.40 and 10,442.56

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Solution

The fourth proportional to 17,896, 24,699.40 and 10,442.56 is: 14,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896 : 24,699.40 = 10,442.56 : x
  2. Step 2: Convert to fraction form
    17,896/24,699.40 = 10,442.56/x
  3. Step 3: Cross multiply
    17,896x = 24,699.40 × 10,442.56
  4. Step 4: Simplify right side
    17,896x = 257,924,966.46
  5. Step 5: Solve for x
    x = 257,924,966.46/17,896
  6. Step 6: Final answer
    x = 14,412.44

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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.