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Finding the Fourth Proportional to 22,652.64, 31,261.66 and 12,581.10

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Solution

The fourth proportional to 22,652.64, 31,261.66 and 12,581.10 is: 17,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.64 : 31,261.66 = 12,581.10 : x
  2. Step 2: Convert to fraction form
    22,652.64/31,261.66 = 12,581.10/x
  3. Step 3: Cross multiply
    22,652.64x = 31,261.66 × 12,581.10
  4. Step 4: Simplify right side
    22,652.64x = 393,306,070.63
  5. Step 5: Solve for x
    x = 393,306,070.63/22,652.64
  6. Step 6: Final answer
    x = 17,362.48

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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.