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Finding the Fourth Proportional to 25,322.64, 34,925.32 and 23,625

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Solution

The fourth proportional to 25,322.64, 34,925.32 and 23,625 is: 32,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,322.64 : 34,925.32 = 23,625 : x
  2. Step 2: Convert to fraction form
    25,322.64/34,925.32 = 23,625/x
  3. Step 3: Cross multiply
    25,322.64x = 34,925.32 × 23,625
  4. Step 4: Simplify right side
    25,322.64x = 825,110,685
  5. Step 5: Solve for x
    x = 825,110,685/25,322.64
  6. Step 6: Final answer
    x = 32,583.91

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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.