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Finding the Fourth Proportional to 19,208, 26,507.04 and 10,376

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Solution

The fourth proportional to 19,208, 26,507.04 and 10,376 is: 14,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,208 : 26,507.04 = 10,376 : x
  2. Step 2: Convert to fraction form
    19,208/26,507.04 = 10,376/x
  3. Step 3: Cross multiply
    19,208x = 26,507.04 × 10,376
  4. Step 4: Simplify right side
    19,208x = 275,037,047.04
  5. Step 5: Solve for x
    x = 275,037,047.04/19,208
  6. Step 6: Final answer
    x = 14,318.88

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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.