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Finding the Fourth Proportional to 13,184.77, 19,777.35 and 5,287.98

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Solution

The fourth proportional to 13,184.77, 19,777.35 and 5,287.98 is: 7,932.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.77 : 19,777.35 = 5,287.98 : x
  2. Step 2: Convert to fraction form
    13,184.77/19,777.35 = 5,287.98/x
  3. Step 3: Cross multiply
    13,184.77x = 19,777.35 × 5,287.98
  4. Step 4: Simplify right side
    13,184.77x = 104,582,176.92
  5. Step 5: Solve for x
    x = 104,582,176.92/13,184.77
  6. Step 6: Final answer
    x = 7,932.05

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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.