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Finding the Fourth Proportional to 17,628.24, 24,327 and 9,670.52

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Solution

The fourth proportional to 17,628.24, 24,327 and 9,670.52 is: 13,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,628.24 : 24,327 = 9,670.52 : x
  2. Step 2: Convert to fraction form
    17,628.24/24,327 = 9,670.52/x
  3. Step 3: Cross multiply
    17,628.24x = 24,327 × 9,670.52
  4. Step 4: Simplify right side
    17,628.24x = 235,254,740.04
  5. Step 5: Solve for x
    x = 235,254,740.04/17,628.24
  6. Step 6: Final answer
    x = 13,345.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.