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Finding the Fourth Proportional to 13,681.98, 20,527.29 and 5,894.46

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Solution

The fourth proportional to 13,681.98, 20,527.29 and 5,894.46 is: 8,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.98 : 20,527.29 = 5,894.46 : x
  2. Step 2: Convert to fraction form
    13,681.98/20,527.29 = 5,894.46/x
  3. Step 3: Cross multiply
    13,681.98x = 20,527.29 × 5,894.46
  4. Step 4: Simplify right side
    13,681.98x = 120,997,289.81
  5. Step 5: Solve for x
    x = 120,997,289.81/13,681.98
  6. Step 6: Final answer
    x = 8,843.55

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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.