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Finding the Fourth Proportional to 25,713.38, 35,421 and 21,924.20

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Solution

The fourth proportional to 25,713.38, 35,421 and 21,924.20 is: 30,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.38 : 35,421 = 21,924.20 : x
  2. Step 2: Convert to fraction form
    25,713.38/35,421 = 21,924.20/x
  3. Step 3: Cross multiply
    25,713.38x = 35,421 × 21,924.20
  4. Step 4: Simplify right side
    25,713.38x = 776,577,088.20
  5. Step 5: Solve for x
    x = 776,577,088.20/25,713.38
  6. Step 6: Final answer
    x = 30,201.28

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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.