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Finding the Fourth Proportional to 13,781.22, 19,017.99 and 7,493.60

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Solution

The fourth proportional to 13,781.22, 19,017.99 and 7,493.60 is: 10,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.22 : 19,017.99 = 7,493.60 : x
  2. Step 2: Convert to fraction form
    13,781.22/19,017.99 = 7,493.60/x
  3. Step 3: Cross multiply
    13,781.22x = 19,017.99 × 7,493.60
  4. Step 4: Simplify right side
    13,781.22x = 142,513,209.86
  5. Step 5: Solve for x
    x = 142,513,209.86/13,781.22
  6. Step 6: Final answer
    x = 10,341.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.