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Finding the Fourth Proportional to 22,759.68, 31,408.16 and 12,823.68

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Solution

The fourth proportional to 22,759.68, 31,408.16 and 12,823.68 is: 17,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.68 : 31,408.16 = 12,823.68 : x
  2. Step 2: Convert to fraction form
    22,759.68/31,408.16 = 12,823.68/x
  3. Step 3: Cross multiply
    22,759.68x = 31,408.16 × 12,823.68
  4. Step 4: Simplify right side
    22,759.68x = 402,768,193.23
  5. Step 5: Solve for x
    x = 402,768,193.23/22,759.68
  6. Step 6: Final answer
    x = 17,696.57

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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.