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Finding the Fourth Proportional to 23,777.60, 32,812.18 and 13,022.30

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Solution

The fourth proportional to 23,777.60, 32,812.18 and 13,022.30 is: 17,970.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.60 : 32,812.18 = 13,022.30 : x
  2. Step 2: Convert to fraction form
    23,777.60/32,812.18 = 13,022.30/x
  3. Step 3: Cross multiply
    23,777.60x = 32,812.18 × 13,022.30
  4. Step 4: Simplify right side
    23,777.60x = 427,290,117.38
  5. Step 5: Solve for x
    x = 427,290,117.38/23,777.60
  6. Step 6: Final answer
    x = 17,970.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.