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Finding the Fourth Proportional to 22,927, 34,400.22 and 12,384.58

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Solution

The fourth proportional to 22,927, 34,400.22 and 12,384.58 is: 18,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927 : 34,400.22 = 12,384.58 : x
  2. Step 2: Convert to fraction form
    22,927/34,400.22 = 12,384.58/x
  3. Step 3: Cross multiply
    22,927x = 34,400.22 × 12,384.58
  4. Step 4: Simplify right side
    22,927x = 426,032,276.61
  5. Step 5: Solve for x
    x = 426,032,276.61/22,927
  6. Step 6: Final answer
    x = 18,582.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.