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Finding the Fourth Proportional to 35,663.20, 53,494.96 and 13,470.64

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Solution

The fourth proportional to 35,663.20, 53,494.96 and 13,470.64 is: 20,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,663.20 : 53,494.96 = 13,470.64 : x
  2. Step 2: Convert to fraction form
    35,663.20/53,494.96 = 13,470.64/x
  3. Step 3: Cross multiply
    35,663.20x = 53,494.96 × 13,470.64
  4. Step 4: Simplify right side
    35,663.20x = 720,611,347.97
  5. Step 5: Solve for x
    x = 720,611,347.97/35,663.20
  6. Step 6: Final answer
    x = 20,206.02

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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.