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Finding the Fourth Proportional to 20,124.88, 27,762.68 and 14,159.84

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Solution

The fourth proportional to 20,124.88, 27,762.68 and 14,159.84 is: 19,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124.88 : 27,762.68 = 14,159.84 : x
  2. Step 2: Convert to fraction form
    20,124.88/27,762.68 = 14,159.84/x
  3. Step 3: Cross multiply
    20,124.88x = 27,762.68 × 14,159.84
  4. Step 4: Simplify right side
    20,124.88x = 393,115,003.36
  5. Step 5: Solve for x
    x = 393,115,003.36/20,124.88
  6. Step 6: Final answer
    x = 19,533.78

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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.