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Finding the Fourth Proportional to 13,271.84, 19,892.64 and 5,470.88

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Solution

The fourth proportional to 13,271.84, 19,892.64 and 5,470.88 is: 8,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,271.84 : 19,892.64 = 5,470.88 : x
  2. Step 2: Convert to fraction form
    13,271.84/19,892.64 = 5,470.88/x
  3. Step 3: Cross multiply
    13,271.84x = 19,892.64 × 5,470.88
  4. Step 4: Simplify right side
    13,271.84x = 108,830,246.32
  5. Step 5: Solve for x
    x = 108,830,246.32/13,271.84
  6. Step 6: Final answer
    x = 8,200.09

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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.