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Finding the Fourth Proportional to 23,934.96, 35,897.04 and 9,138.60

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Solution

The fourth proportional to 23,934.96, 35,897.04 and 9,138.60 is: 13,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,934.96 : 35,897.04 = 9,138.60 : x
  2. Step 2: Convert to fraction form
    23,934.96/35,897.04 = 9,138.60/x
  3. Step 3: Cross multiply
    23,934.96x = 35,897.04 × 9,138.60
  4. Step 4: Simplify right side
    23,934.96x = 328,048,689.74
  5. Step 5: Solve for x
    x = 328,048,689.74/23,934.96
  6. Step 6: Final answer
    x = 13,705.84

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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.