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Finding the Fourth Proportional to 23,784.22, 35,676.33 and 9,923.50

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Solution

The fourth proportional to 23,784.22, 35,676.33 and 9,923.50 is: 14,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,784.22 : 35,676.33 = 9,923.50 : x
  2. Step 2: Convert to fraction form
    23,784.22/35,676.33 = 9,923.50/x
  3. Step 3: Cross multiply
    23,784.22x = 35,676.33 × 9,923.50
  4. Step 4: Simplify right side
    23,784.22x = 354,034,060.76
  5. Step 5: Solve for x
    x = 354,034,060.76/23,784.22
  6. Step 6: Final answer
    x = 14,885.25

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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.