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Finding the Fourth Proportional to 25,307.32, 34,924.14 and 13,822.22

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Solution

The fourth proportional to 25,307.32, 34,924.14 and 13,822.22 is: 19,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,307.32 : 34,924.14 = 13,822.22 : x
  2. Step 2: Convert to fraction form
    25,307.32/34,924.14 = 13,822.22/x
  3. Step 3: Cross multiply
    25,307.32x = 34,924.14 × 13,822.22
  4. Step 4: Simplify right side
    25,307.32x = 482,729,146.39
  5. Step 5: Solve for x
    x = 482,729,146.39/25,307.32
  6. Step 6: Final answer
    x = 19,074.68

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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.