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Finding the Fourth Proportional to 39,521.94, 59,286 and 11,442.41

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Solution

The fourth proportional to 39,521.94, 59,286 and 11,442.41 is: 17,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,521.94 : 59,286 = 11,442.41 : x
  2. Step 2: Convert to fraction form
    39,521.94/59,286 = 11,442.41/x
  3. Step 3: Cross multiply
    39,521.94x = 59,286 × 11,442.41
  4. Step 4: Simplify right side
    39,521.94x = 678,374,719.26
  5. Step 5: Solve for x
    x = 678,374,719.26/39,521.94
  6. Step 6: Final answer
    x = 17,164.51

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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.