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Finding the Fourth Proportional to 19,265, 26,585.73 and 10,433

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Solution

The fourth proportional to 19,265, 26,585.73 and 10,433 is: 14,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,265 : 26,585.73 = 10,433 : x
  2. Step 2: Convert to fraction form
    19,265/26,585.73 = 10,433/x
  3. Step 3: Cross multiply
    19,265x = 26,585.73 × 10,433
  4. Step 4: Simplify right side
    19,265x = 277,368,921.09
  5. Step 5: Solve for x
    x = 277,368,921.09/19,265
  6. Step 6: Final answer
    x = 14,397.56

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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.