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Finding the Fourth Proportional to 22,478.17, 31,019.84 and 12,406.63

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Solution

The fourth proportional to 22,478.17, 31,019.84 and 12,406.63 is: 17,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.17 : 31,019.84 = 12,406.63 : x
  2. Step 2: Convert to fraction form
    22,478.17/31,019.84 = 12,406.63/x
  3. Step 3: Cross multiply
    22,478.17x = 31,019.84 × 12,406.63
  4. Step 4: Simplify right side
    22,478.17x = 384,851,460.41
  5. Step 5: Solve for x
    x = 384,851,460.41/22,478.17
  6. Step 6: Final answer
    x = 17,121.12

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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.