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Finding the Fourth Proportional to 23,658.04, 35,493.72 and 7,864.48

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Solution

The fourth proportional to 23,658.04, 35,493.72 and 7,864.48 is: 11,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.04 : 35,493.72 = 7,864.48 : x
  2. Step 2: Convert to fraction form
    23,658.04/35,493.72 = 7,864.48/x
  3. Step 3: Cross multiply
    23,658.04x = 35,493.72 × 7,864.48
  4. Step 4: Simplify right side
    23,658.04x = 279,139,651.07
  5. Step 5: Solve for x
    x = 279,139,651.07/23,658.04
  6. Step 6: Final answer
    x = 11,798.93

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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.