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Finding the Fourth Proportional to 15,659.65, 23,458.18 and 9,416.23

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Solution

The fourth proportional to 15,659.65, 23,458.18 and 9,416.23 is: 14,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,659.65 : 23,458.18 = 9,416.23 : x
  2. Step 2: Convert to fraction form
    15,659.65/23,458.18 = 9,416.23/x
  3. Step 3: Cross multiply
    15,659.65x = 23,458.18 × 9,416.23
  4. Step 4: Simplify right side
    15,659.65x = 220,887,685.68
  5. Step 5: Solve for x
    x = 220,887,685.68/15,659.65
  6. Step 6: Final answer
    x = 14,105.54

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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.