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Finding the Fourth Proportional to 13,597.40, 20,403.53 and 5,277.75

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Solution

The fourth proportional to 13,597.40, 20,403.53 and 5,277.75 is: 7,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.40 : 20,403.53 = 5,277.75 : x
  2. Step 2: Convert to fraction form
    13,597.40/20,403.53 = 5,277.75/x
  3. Step 3: Cross multiply
    13,597.40x = 20,403.53 × 5,277.75
  4. Step 4: Simplify right side
    13,597.40x = 107,684,730.46
  5. Step 5: Solve for x
    x = 107,684,730.46/13,597.40
  6. Step 6: Final answer
    x = 7,919.51

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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.