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Finding the Fourth Proportional to 22,768.80, 31,417.47 and 12,697.36

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Solution

The fourth proportional to 22,768.80, 31,417.47 and 12,697.36 is: 17,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.80 : 31,417.47 = 12,697.36 : x
  2. Step 2: Convert to fraction form
    22,768.80/31,417.47 = 12,697.36/x
  3. Step 3: Cross multiply
    22,768.80x = 31,417.47 × 12,697.36
  4. Step 4: Simplify right side
    22,768.80x = 398,918,848.34
  5. Step 5: Solve for x
    x = 398,918,848.34/22,768.80
  6. Step 6: Final answer
    x = 17,520.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.