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Finding the Fourth Proportional to 23,677.44, 35,532 and 9,826.44

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Solution

The fourth proportional to 23,677.44, 35,532 and 9,826.44 is: 14,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.44 : 35,532 = 9,826.44 : x
  2. Step 2: Convert to fraction form
    23,677.44/35,532 = 9,826.44/x
  3. Step 3: Cross multiply
    23,677.44x = 35,532 × 9,826.44
  4. Step 4: Simplify right side
    23,677.44x = 349,153,066.08
  5. Step 5: Solve for x
    x = 349,153,066.08/23,677.44
  6. Step 6: Final answer
    x = 14,746.23

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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.