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Finding the Fourth Proportional to 22,594, 31,180.20 and 12,658

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Solution

The fourth proportional to 22,594, 31,180.20 and 12,658 is: 17,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594 : 31,180.20 = 12,658 : x
  2. Step 2: Convert to fraction form
    22,594/31,180.20 = 12,658/x
  3. Step 3: Cross multiply
    22,594x = 31,180.20 × 12,658
  4. Step 4: Simplify right side
    22,594x = 394,678,971.60
  5. Step 5: Solve for x
    x = 394,678,971.60/22,594
  6. Step 6: Final answer
    x = 17,468.31

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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.