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Finding the Fourth Proportional to 15,665.86, 23,504.06 and 5,805.93

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Solution

The fourth proportional to 15,665.86, 23,504.06 and 5,805.93 is: 8,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.86 : 23,504.06 = 5,805.93 : x
  2. Step 2: Convert to fraction form
    15,665.86/23,504.06 = 5,805.93/x
  3. Step 3: Cross multiply
    15,665.86x = 23,504.06 × 5,805.93
  4. Step 4: Simplify right side
    15,665.86x = 136,462,927.08
  5. Step 5: Solve for x
    x = 136,462,927.08/15,665.86
  6. Step 6: Final answer
    x = 8,710.85

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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.