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Finding the Fourth Proportional to 19,781.58, 29,666.22 and 10,416.48

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Solution

The fourth proportional to 19,781.58, 29,666.22 and 10,416.48 is: 15,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.58 : 29,666.22 = 10,416.48 : x
  2. Step 2: Convert to fraction form
    19,781.58/29,666.22 = 10,416.48/x
  3. Step 3: Cross multiply
    19,781.58x = 29,666.22 × 10,416.48
  4. Step 4: Simplify right side
    19,781.58x = 309,017,587.31
  5. Step 5: Solve for x
    x = 309,017,587.31/19,781.58
  6. Step 6: Final answer
    x = 15,621.48

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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.