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Finding the Fourth Proportional to 19,666.86, 27,140.40 and 10,714.60

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Solution

The fourth proportional to 19,666.86, 27,140.40 and 10,714.60 is: 14,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.86 : 27,140.40 = 10,714.60 : x
  2. Step 2: Convert to fraction form
    19,666.86/27,140.40 = 10,714.60/x
  3. Step 3: Cross multiply
    19,666.86x = 27,140.40 × 10,714.60
  4. Step 4: Simplify right side
    19,666.86x = 290,798,529.84
  5. Step 5: Solve for x
    x = 290,798,529.84/19,666.86
  6. Step 6: Final answer
    x = 14,786.22

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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.