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Finding the Fourth Proportional to 22,472.33, 31,011.80 and 12,400.77

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Solution

The fourth proportional to 22,472.33, 31,011.80 and 12,400.77 is: 17,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.33 : 31,011.80 = 12,400.77 : x
  2. Step 2: Convert to fraction form
    22,472.33/31,011.80 = 12,400.77/x
  3. Step 3: Cross multiply
    22,472.33x = 31,011.80 × 12,400.77
  4. Step 4: Simplify right side
    22,472.33x = 384,570,137.08
  5. Step 5: Solve for x
    x = 384,570,137.08/22,472.33
  6. Step 6: Final answer
    x = 17,113.05

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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.