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Finding the Fourth Proportional to 22,897.62, 31,602.53 and 15,721.67

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Solution

The fourth proportional to 22,897.62, 31,602.53 and 15,721.67 is: 21,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.62 : 31,602.53 = 15,721.67 : x
  2. Step 2: Convert to fraction form
    22,897.62/31,602.53 = 15,721.67/x
  3. Step 3: Cross multiply
    22,897.62x = 31,602.53 × 15,721.67
  4. Step 4: Simplify right side
    22,897.62x = 496,844,311.20
  5. Step 5: Solve for x
    x = 496,844,311.20/22,897.62
  6. Step 6: Final answer
    x = 21,698.51

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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.