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Finding the Fourth Proportional to 35,666.40, 53,461.20 and 13,471.20

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Solution

The fourth proportional to 35,666.40, 53,461.20 and 13,471.20 is: 20,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,666.40 : 53,461.20 = 13,471.20 : x
  2. Step 2: Convert to fraction form
    35,666.40/53,461.20 = 13,471.20/x
  3. Step 3: Cross multiply
    35,666.40x = 53,461.20 × 13,471.20
  4. Step 4: Simplify right side
    35,666.40x = 720,186,517.44
  5. Step 5: Solve for x
    x = 720,186,517.44/35,666.40
  6. Step 6: Final answer
    x = 20,192.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.