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Finding the Fourth Proportional to 15,722.98, 23,575.93 and 7,808.13

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Solution

The fourth proportional to 15,722.98, 23,575.93 and 7,808.13 is: 11,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.98 : 23,575.93 = 7,808.13 : x
  2. Step 2: Convert to fraction form
    15,722.98/23,575.93 = 7,808.13/x
  3. Step 3: Cross multiply
    15,722.98x = 23,575.93 × 7,808.13
  4. Step 4: Simplify right side
    15,722.98x = 184,083,906.79
  5. Step 5: Solve for x
    x = 184,083,906.79/15,722.98
  6. Step 6: Final answer
    x = 11,707.95

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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.