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Finding the Fourth Proportional to 19,356, 26,711.52 and 10,524

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Solution

The fourth proportional to 19,356, 26,711.52 and 10,524 is: 14,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,356 : 26,711.52 = 10,524 : x
  2. Step 2: Convert to fraction form
    19,356/26,711.52 = 10,524/x
  3. Step 3: Cross multiply
    19,356x = 26,711.52 × 10,524
  4. Step 4: Simplify right side
    19,356x = 281,112,036.48
  5. Step 5: Solve for x
    x = 281,112,036.48/19,356
  6. Step 6: Final answer
    x = 14,523.25

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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.