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Finding the Fourth Proportional to 23,894.15, 35,840.08 and 9,853.95

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Solution

The fourth proportional to 23,894.15, 35,840.08 and 9,853.95 is: 14,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.15 : 35,840.08 = 9,853.95 : x
  2. Step 2: Convert to fraction form
    23,894.15/35,840.08 = 9,853.95/x
  3. Step 3: Cross multiply
    23,894.15x = 35,840.08 × 9,853.95
  4. Step 4: Simplify right side
    23,894.15x = 353,166,307.05
  5. Step 5: Solve for x
    x = 353,166,307.05/23,894.15
  6. Step 6: Final answer
    x = 14,780.45

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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.