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Finding the Fourth Proportional to 13,062.14, 19,597 and 4,742.02

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Solution

The fourth proportional to 13,062.14, 19,597 and 4,742.02 is: 7,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,062.14 : 19,597 = 4,742.02 : x
  2. Step 2: Convert to fraction form
    13,062.14/19,597 = 4,742.02/x
  3. Step 3: Cross multiply
    13,062.14x = 19,597 × 4,742.02
  4. Step 4: Simplify right side
    13,062.14x = 92,929,365.94
  5. Step 5: Solve for x
    x = 92,929,365.94/13,062.14
  6. Step 6: Final answer
    x = 7,114.41

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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.