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Finding the Fourth Proportional to 20,261.60, 30,393.86 and 7,781.63

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Solution

The fourth proportional to 20,261.60, 30,393.86 and 7,781.63 is: 11,673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261.60 : 30,393.86 = 7,781.63 : x
  2. Step 2: Convert to fraction form
    20,261.60/30,393.86 = 7,781.63/x
  3. Step 3: Cross multiply
    20,261.60x = 30,393.86 × 7,781.63
  4. Step 4: Simplify right side
    20,261.60x = 236,513,700.51
  5. Step 5: Solve for x
    x = 236,513,700.51/20,261.60
  6. Step 6: Final answer
    x = 11,673.00

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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.