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Finding the Fourth Proportional to 25,717.78, 35,506.02 and 16,780.78

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Solution

The fourth proportional to 25,717.78, 35,506.02 and 16,780.78 is: 23,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,717.78 : 35,506.02 = 16,780.78 : x
  2. Step 2: Convert to fraction form
    25,717.78/35,506.02 = 16,780.78/x
  3. Step 3: Cross multiply
    25,717.78x = 35,506.02 × 16,780.78
  4. Step 4: Simplify right side
    25,717.78x = 595,818,710.30
  5. Step 5: Solve for x
    x = 595,818,710.30/25,717.78
  6. Step 6: Final answer
    x = 23,167.58

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1.5x scale

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.