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Finding the Fourth Proportional to 19,666.60, 29,514.75 and 13,411.78

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Solution

The fourth proportional to 19,666.60, 29,514.75 and 13,411.78 is: 20,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.60 : 29,514.75 = 13,411.78 : x
  2. Step 2: Convert to fraction form
    19,666.60/29,514.75 = 13,411.78/x
  3. Step 3: Cross multiply
    19,666.60x = 29,514.75 × 13,411.78
  4. Step 4: Simplify right side
    19,666.60x = 395,845,333.76
  5. Step 5: Solve for x
    x = 395,845,333.76/19,666.60
  6. Step 6: Final answer
    x = 20,127.80

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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.