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Finding the Fourth Proportional to 15,605.52, 23,403.12 and 7,809

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Solution

The fourth proportional to 15,605.52, 23,403.12 and 7,809 is: 11,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.52 : 23,403.12 = 7,809 : x
  2. Step 2: Convert to fraction form
    15,605.52/23,403.12 = 7,809/x
  3. Step 3: Cross multiply
    15,605.52x = 23,403.12 × 7,809
  4. Step 4: Simplify right side
    15,605.52x = 182,754,964.08
  5. Step 5: Solve for x
    x = 182,754,964.08/15,605.52
  6. Step 6: Final answer
    x = 11,710.92

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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.