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Finding the Fourth Proportional to 23,835.88, 35,740.86 and 9,973

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Solution

The fourth proportional to 23,835.88, 35,740.86 and 9,973 is: 14,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.88 : 35,740.86 = 9,973 : x
  2. Step 2: Convert to fraction form
    23,835.88/35,740.86 = 9,973/x
  3. Step 3: Cross multiply
    23,835.88x = 35,740.86 × 9,973
  4. Step 4: Simplify right side
    23,835.88x = 356,443,596.78
  5. Step 5: Solve for x
    x = 356,443,596.78/23,835.88
  6. Step 6: Final answer
    x = 14,954.08

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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.