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Finding the Fourth Proportional to 19,714.41, 27,205.98 and 10,762.14

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Solution

The fourth proportional to 19,714.41, 27,205.98 and 10,762.14 is: 14,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.41 : 27,205.98 = 10,762.14 : x
  2. Step 2: Convert to fraction form
    19,714.41/27,205.98 = 10,762.14/x
  3. Step 3: Cross multiply
    19,714.41x = 27,205.98 × 10,762.14
  4. Step 4: Simplify right side
    19,714.41x = 292,794,565.60
  5. Step 5: Solve for x
    x = 292,794,565.60/19,714.41
  6. Step 6: Final answer
    x = 14,851.80

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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.