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Finding the Fourth Proportional to 25,824.84, 35,633.54 and 17,339.28

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Solution

The fourth proportional to 25,824.84, 35,633.54 and 17,339.28 is: 23,925.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824.84 : 35,633.54 = 17,339.28 : x
  2. Step 2: Convert to fraction form
    25,824.84/35,633.54 = 17,339.28/x
  3. Step 3: Cross multiply
    25,824.84x = 35,633.54 × 17,339.28
  4. Step 4: Simplify right side
    25,824.84x = 617,859,927.45
  5. Step 5: Solve for x
    x = 617,859,927.45/25,824.84
  6. Step 6: Final answer
    x = 23,925.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.