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Finding the Fourth Proportional to 23,657.64, 35,485.69 and 9,613.51

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Solution

The fourth proportional to 23,657.64, 35,485.69 and 9,613.51 is: 14,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.64 : 35,485.69 = 9,613.51 : x
  2. Step 2: Convert to fraction form
    23,657.64/35,485.69 = 9,613.51/x
  3. Step 3: Cross multiply
    23,657.64x = 35,485.69 × 9,613.51
  4. Step 4: Simplify right side
    23,657.64x = 341,142,035.67
  5. Step 5: Solve for x
    x = 341,142,035.67/23,657.64
  6. Step 6: Final answer
    x = 14,419.95

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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.