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Finding the Fourth Proportional to 22,974.77, 31,705.90 and 12,903.44

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Solution

The fourth proportional to 22,974.77, 31,705.90 and 12,903.44 is: 17,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.77 : 31,705.90 = 12,903.44 : x
  2. Step 2: Convert to fraction form
    22,974.77/31,705.90 = 12,903.44/x
  3. Step 3: Cross multiply
    22,974.77x = 31,705.90 × 12,903.44
  4. Step 4: Simplify right side
    22,974.77x = 409,114,987.51
  5. Step 5: Solve for x
    x = 409,114,987.51/22,974.77
  6. Step 6: Final answer
    x = 17,807.14

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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.