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Finding the Fourth Proportional to 13,921.40, 20,881.14 and 6,527.50

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Solution

The fourth proportional to 13,921.40, 20,881.14 and 6,527.50 is: 9,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.40 : 20,881.14 = 6,527.50 : x
  2. Step 2: Convert to fraction form
    13,921.40/20,881.14 = 6,527.50/x
  3. Step 3: Cross multiply
    13,921.40x = 20,881.14 × 6,527.50
  4. Step 4: Simplify right side
    13,921.40x = 136,301,641.35
  5. Step 5: Solve for x
    x = 136,301,641.35/13,921.40
  6. Step 6: Final answer
    x = 9,790.80

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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.