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Finding the Fourth Proportional to 22,897.24, 34,345.22 and 7,315.80

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Solution

The fourth proportional to 22,897.24, 34,345.22 and 7,315.80 is: 10,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.24 : 34,345.22 = 7,315.80 : x
  2. Step 2: Convert to fraction form
    22,897.24/34,345.22 = 7,315.80/x
  3. Step 3: Cross multiply
    22,897.24x = 34,345.22 × 7,315.80
  4. Step 4: Simplify right side
    22,897.24x = 251,262,760.48
  5. Step 5: Solve for x
    x = 251,262,760.48/22,897.24
  6. Step 6: Final answer
    x = 10,973.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.