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Finding the Fourth Proportional to 21,756.64, 30,019.74 and 12,323.38

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Solution

The fourth proportional to 21,756.64, 30,019.74 and 12,323.38 is: 17,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,756.64 : 30,019.74 = 12,323.38 : x
  2. Step 2: Convert to fraction form
    21,756.64/30,019.74 = 12,323.38/x
  3. Step 3: Cross multiply
    21,756.64x = 30,019.74 × 12,323.38
  4. Step 4: Simplify right side
    21,756.64x = 369,944,663.52
  5. Step 5: Solve for x
    x = 369,944,663.52/21,756.64
  6. Step 6: Final answer
    x = 17,003.76

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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.