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Finding the Fourth Proportional to 22,478.40, 31,017.98 and 12,406.19

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Solution

The fourth proportional to 22,478.40, 31,017.98 and 12,406.19 is: 17,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.40 : 31,017.98 = 12,406.19 : x
  2. Step 2: Convert to fraction form
    22,478.40/31,017.98 = 12,406.19/x
  3. Step 3: Cross multiply
    22,478.40x = 31,017.98 × 12,406.19
  4. Step 4: Simplify right side
    22,478.40x = 384,814,953.30
  5. Step 5: Solve for x
    x = 384,814,953.30/22,478.40
  6. Step 6: Final answer
    x = 17,119.32

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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.