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Finding the Fourth Proportional to 23,925.54, 35,861.88 and 9,877.82

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Solution

The fourth proportional to 23,925.54, 35,861.88 and 9,877.82 is: 14,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,925.54 : 35,861.88 = 9,877.82 : x
  2. Step 2: Convert to fraction form
    23,925.54/35,861.88 = 9,877.82/x
  3. Step 3: Cross multiply
    23,925.54x = 35,861.88 × 9,877.82
  4. Step 4: Simplify right side
    23,925.54x = 354,237,199.39
  5. Step 5: Solve for x
    x = 354,237,199.39/23,925.54
  6. Step 6: Final answer
    x = 14,805.82

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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.