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Finding the Fourth Proportional to 23,835.12, 35,746.68 and 9,799.06

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Solution

The fourth proportional to 23,835.12, 35,746.68 and 9,799.06 is: 14,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.12 : 35,746.68 = 9,799.06 : x
  2. Step 2: Convert to fraction form
    23,835.12/35,746.68 = 9,799.06/x
  3. Step 3: Cross multiply
    23,835.12x = 35,746.68 × 9,799.06
  4. Step 4: Simplify right side
    23,835.12x = 350,283,862.12
  5. Step 5: Solve for x
    x = 350,283,862.12/23,835.12
  6. Step 6: Final answer
    x = 14,696.12

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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.