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Finding the Fourth Proportional to 22,967.88, 31,697.51 and 12,897

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Solution

The fourth proportional to 22,967.88, 31,697.51 and 12,897 is: 17,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.88 : 31,697.51 = 12,897 : x
  2. Step 2: Convert to fraction form
    22,967.88/31,697.51 = 12,897/x
  3. Step 3: Cross multiply
    22,967.88x = 31,697.51 × 12,897
  4. Step 4: Simplify right side
    22,967.88x = 408,802,721.99
  5. Step 5: Solve for x
    x = 408,802,721.99/22,967.88
  6. Step 6: Final answer
    x = 17,798.89

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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.