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Finding the Fourth Proportional to 22,467.60, 31,005 and 12,395.79

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Solution

The fourth proportional to 22,467.60, 31,005 and 12,395.79 is: 17,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.60 : 31,005 = 12,395.79 : x
  2. Step 2: Convert to fraction form
    22,467.60/31,005 = 12,395.79/x
  3. Step 3: Cross multiply
    22,467.60x = 31,005 × 12,395.79
  4. Step 4: Simplify right side
    22,467.60x = 384,331,468.95
  5. Step 5: Solve for x
    x = 384,331,468.95/22,467.60
  6. Step 6: Final answer
    x = 17,106.03

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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.