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Finding the Fourth Proportional to 22,357.12, 30,853.44 and 12,421.76

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Solution

The fourth proportional to 22,357.12, 30,853.44 and 12,421.76 is: 17,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.12 : 30,853.44 = 12,421.76 : x
  2. Step 2: Convert to fraction form
    22,357.12/30,853.44 = 12,421.76/x
  3. Step 3: Cross multiply
    22,357.12x = 30,853.44 × 12,421.76
  4. Step 4: Simplify right side
    22,357.12x = 383,254,026.85
  5. Step 5: Solve for x
    x = 383,254,026.85/22,357.12
  6. Step 6: Final answer
    x = 17,142.37

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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.