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Finding the Fourth Proportional to 17,533.64, 24,195.84 and 10,456.40

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Solution

The fourth proportional to 17,533.64, 24,195.84 and 10,456.40 is: 14,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.64 : 24,195.84 = 10,456.40 : x
  2. Step 2: Convert to fraction form
    17,533.64/24,195.84 = 10,456.40/x
  3. Step 3: Cross multiply
    17,533.64x = 24,195.84 × 10,456.40
  4. Step 4: Simplify right side
    17,533.64x = 253,001,381.38
  5. Step 5: Solve for x
    x = 253,001,381.38/17,533.64
  6. Step 6: Final answer
    x = 14,429.48

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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.