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Finding the Fourth Proportional to 19,714.71, 27,205.84 and 10,762.37

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Solution

The fourth proportional to 19,714.71, 27,205.84 and 10,762.37 is: 14,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.71 : 27,205.84 = 10,762.37 : x
  2. Step 2: Convert to fraction form
    19,714.71/27,205.84 = 10,762.37/x
  3. Step 3: Cross multiply
    19,714.71x = 27,205.84 × 10,762.37
  4. Step 4: Simplify right side
    19,714.71x = 292,799,295.69
  5. Step 5: Solve for x
    x = 292,799,295.69/19,714.71
  6. Step 6: Final answer
    x = 14,851.82

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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.