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Finding the Fourth Proportional to 23,801.94, 35,686.44 and 10,468.53

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Solution

The fourth proportional to 23,801.94, 35,686.44 and 10,468.53 is: 15,695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,801.94 : 35,686.44 = 10,468.53 : x
  2. Step 2: Convert to fraction form
    23,801.94/35,686.44 = 10,468.53/x
  3. Step 3: Cross multiply
    23,801.94x = 35,686.44 × 10,468.53
  4. Step 4: Simplify right side
    23,801.94x = 373,584,567.73
  5. Step 5: Solve for x
    x = 373,584,567.73/23,801.94
  6. Step 6: Final answer
    x = 15,695.55

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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.