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Finding the Fourth Proportional to 22,476.98, 31,018.56 and 12,405.90

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Solution

The fourth proportional to 22,476.98, 31,018.56 and 12,405.90 is: 17,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476.98 : 31,018.56 = 12,405.90 : x
  2. Step 2: Convert to fraction form
    22,476.98/31,018.56 = 12,405.90/x
  3. Step 3: Cross multiply
    22,476.98x = 31,018.56 × 12,405.90
  4. Step 4: Simplify right side
    22,476.98x = 384,813,153.50
  5. Step 5: Solve for x
    x = 384,813,153.50/22,476.98
  6. Step 6: Final answer
    x = 17,120.32

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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.