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Finding the Fourth Proportional to 23,895.34, 35,840.40 and 9,857.08

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Solution

The fourth proportional to 23,895.34, 35,840.40 and 9,857.08 is: 14,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,895.34 : 35,840.40 = 9,857.08 : x
  2. Step 2: Convert to fraction form
    23,895.34/35,840.40 = 9,857.08/x
  3. Step 3: Cross multiply
    23,895.34x = 35,840.40 × 9,857.08
  4. Step 4: Simplify right side
    23,895.34x = 353,281,690.03
  5. Step 5: Solve for x
    x = 353,281,690.03/23,895.34
  6. Step 6: Final answer
    x = 14,784.54

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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.