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Finding the Fourth Proportional to 13,973.48, 20,952.66 and 6,938.06

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Solution

The fourth proportional to 13,973.48, 20,952.66 and 6,938.06 is: 10,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.48 : 20,952.66 = 6,938.06 : x
  2. Step 2: Convert to fraction form
    13,973.48/20,952.66 = 6,938.06/x
  3. Step 3: Cross multiply
    13,973.48x = 20,952.66 × 6,938.06
  4. Step 4: Simplify right side
    13,973.48x = 145,370,812.24
  5. Step 5: Solve for x
    x = 145,370,812.24/13,973.48
  6. Step 6: Final answer
    x = 10,403.34

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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.