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Finding the Fourth Proportional to 13,200.71, 19,802.70 and 4,316.94

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Solution

The fourth proportional to 13,200.71, 19,802.70 and 4,316.94 is: 6,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.71 : 19,802.70 = 4,316.94 : x
  2. Step 2: Convert to fraction form
    13,200.71/19,802.70 = 4,316.94/x
  3. Step 3: Cross multiply
    13,200.71x = 19,802.70 × 4,316.94
  4. Step 4: Simplify right side
    13,200.71x = 85,487,067.74
  5. Step 5: Solve for x
    x = 85,487,067.74/13,200.71
  6. Step 6: Final answer
    x = 6,475.95

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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.