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Finding the Fourth Proportional to 13,970.88, 20,963.34 and 6,574.50

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Solution

The fourth proportional to 13,970.88, 20,963.34 and 6,574.50 is: 9,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.88 : 20,963.34 = 6,574.50 : x
  2. Step 2: Convert to fraction form
    13,970.88/20,963.34 = 6,574.50/x
  3. Step 3: Cross multiply
    13,970.88x = 20,963.34 × 6,574.50
  4. Step 4: Simplify right side
    13,970.88x = 137,823,478.83
  5. Step 5: Solve for x
    x = 137,823,478.83/13,970.88
  6. Step 6: Final answer
    x = 9,865.05

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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.