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Finding the Fourth Proportional to 12,904.74, 17,807.52 and 7,238.73

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Solution

The fourth proportional to 12,904.74, 17,807.52 and 7,238.73 is: 9,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.74 : 17,807.52 = 7,238.73 : x
  2. Step 2: Convert to fraction form
    12,904.74/17,807.52 = 7,238.73/x
  3. Step 3: Cross multiply
    12,904.74x = 17,807.52 × 7,238.73
  4. Step 4: Simplify right side
    12,904.74x = 128,903,829.25
  5. Step 5: Solve for x
    x = 128,903,829.25/12,904.74
  6. Step 6: Final answer
    x = 9,988.87

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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.