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Finding the Fourth Proportional to 13,666.90, 20,499.54 and 4,781.60

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Solution

The fourth proportional to 13,666.90, 20,499.54 and 4,781.60 is: 7,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.90 : 20,499.54 = 4,781.60 : x
  2. Step 2: Convert to fraction form
    13,666.90/20,499.54 = 4,781.60/x
  3. Step 3: Cross multiply
    13,666.90x = 20,499.54 × 4,781.60
  4. Step 4: Simplify right side
    13,666.90x = 98,020,600.46
  5. Step 5: Solve for x
    x = 98,020,600.46/13,666.90
  6. Step 6: Final answer
    x = 7,172.12

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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.