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Finding the Fourth Proportional to 19,357.50, 26,713.38 and 10,974

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Solution

The fourth proportional to 19,357.50, 26,713.38 and 10,974 is: 15,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,357.50 : 26,713.38 = 10,974 : x
  2. Step 2: Convert to fraction form
    19,357.50/26,713.38 = 10,974/x
  3. Step 3: Cross multiply
    19,357.50x = 26,713.38 × 10,974
  4. Step 4: Simplify right side
    19,357.50x = 293,152,632.12
  5. Step 5: Solve for x
    x = 293,152,632.12/19,357.50
  6. Step 6: Final answer
    x = 15,144.14

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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.