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Finding the Fourth Proportional to 19,165.38, 26,449.47 and 10,667.40

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Solution

The fourth proportional to 19,165.38, 26,449.47 and 10,667.40 is: 14,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,165.38 : 26,449.47 = 10,667.40 : x
  2. Step 2: Convert to fraction form
    19,165.38/26,449.47 = 10,667.40/x
  3. Step 3: Cross multiply
    19,165.38x = 26,449.47 × 10,667.40
  4. Step 4: Simplify right side
    19,165.38x = 282,146,977.09
  5. Step 5: Solve for x
    x = 282,146,977.09/19,165.38
  6. Step 6: Final answer
    x = 14,721.70

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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.