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Finding the Fourth Proportional to 13,446.68, 20,173.40 and 4,681.68

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Solution

The fourth proportional to 13,446.68, 20,173.40 and 4,681.68 is: 7,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.68 : 20,173.40 = 4,681.68 : x
  2. Step 2: Convert to fraction form
    13,446.68/20,173.40 = 4,681.68/x
  3. Step 3: Cross multiply
    13,446.68x = 20,173.40 × 4,681.68
  4. Step 4: Simplify right side
    13,446.68x = 94,445,403.31
  5. Step 5: Solve for x
    x = 94,445,403.31/13,446.68
  6. Step 6: Final answer
    x = 7,023.70

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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.