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Finding the Fourth Proportional to 15,199.86, 22,784.20 and 5,837.36

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Solution

The fourth proportional to 15,199.86, 22,784.20 and 5,837.36 is: 8,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,199.86 : 22,784.20 = 5,837.36 : x
  2. Step 2: Convert to fraction form
    15,199.86/22,784.20 = 5,837.36/x
  3. Step 3: Cross multiply
    15,199.86x = 22,784.20 × 5,837.36
  4. Step 4: Simplify right side
    15,199.86x = 132,999,577.71
  5. Step 5: Solve for x
    x = 132,999,577.71/15,199.86
  6. Step 6: Final answer
    x = 8,750.05

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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.