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Finding the Fourth Proportional to 23,863.74, 32,931.06 and 13,254.06

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Solution

The fourth proportional to 23,863.74, 32,931.06 and 13,254.06 is: 18,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.74 : 32,931.06 = 13,254.06 : x
  2. Step 2: Convert to fraction form
    23,863.74/32,931.06 = 13,254.06/x
  3. Step 3: Cross multiply
    23,863.74x = 32,931.06 × 13,254.06
  4. Step 4: Simplify right side
    23,863.74x = 436,470,245.10
  5. Step 5: Solve for x
    x = 436,470,245.10/23,863.74
  6. Step 6: Final answer
    x = 18,290.10

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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.