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Finding the Fourth Proportional to 22,652.32, 31,259.12 and 12,581.40

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Solution

The fourth proportional to 22,652.32, 31,259.12 and 12,581.40 is: 17,361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.32 : 31,259.12 = 12,581.40 : x
  2. Step 2: Convert to fraction form
    22,652.32/31,259.12 = 12,581.40/x
  3. Step 3: Cross multiply
    22,652.32x = 31,259.12 × 12,581.40
  4. Step 4: Simplify right side
    22,652.32x = 393,283,492.37
  5. Step 5: Solve for x
    x = 393,283,492.37/22,652.32
  6. Step 6: Final answer
    x = 17,361.73

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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.