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Finding the Fourth Proportional to 35,497.53, 53,251.62 and 11,473.83

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Solution

The fourth proportional to 35,497.53, 53,251.62 and 11,473.83 is: 17,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497.53 : 53,251.62 = 11,473.83 : x
  2. Step 2: Convert to fraction form
    35,497.53/53,251.62 = 11,473.83/x
  3. Step 3: Cross multiply
    35,497.53x = 53,251.62 × 11,473.83
  4. Step 4: Simplify right side
    35,497.53x = 611,000,035.10
  5. Step 5: Solve for x
    x = 611,000,035.10/35,497.53
  6. Step 6: Final answer
    x = 17,212.47

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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.