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Finding the Fourth Proportional to 13,462.14, 20,187.05 and 4,695

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Solution

The fourth proportional to 13,462.14, 20,187.05 and 4,695 is: 7,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.14 : 20,187.05 = 4,695 : x
  2. Step 2: Convert to fraction form
    13,462.14/20,187.05 = 4,695/x
  3. Step 3: Cross multiply
    13,462.14x = 20,187.05 × 4,695
  4. Step 4: Simplify right side
    13,462.14x = 94,778,199.75
  5. Step 5: Solve for x
    x = 94,778,199.75/13,462.14
  6. Step 6: Final answer
    x = 7,040.35

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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.