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Finding the Fourth Proportional to 23,880.46, 32,954.04 and 13,270

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Solution

The fourth proportional to 23,880.46, 32,954.04 and 13,270 is: 18,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,880.46 : 32,954.04 = 13,270 : x
  2. Step 2: Convert to fraction form
    23,880.46/32,954.04 = 13,270/x
  3. Step 3: Cross multiply
    23,880.46x = 32,954.04 × 13,270
  4. Step 4: Simplify right side
    23,880.46x = 437,300,110.80
  5. Step 5: Solve for x
    x = 437,300,110.80/23,880.46
  6. Step 6: Final answer
    x = 18,312.05

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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.