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Finding the Fourth Proportional to 14,772.80, 20,394.77 and 10,242.06

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Solution

The fourth proportional to 14,772.80, 20,394.77 and 10,242.06 is: 14,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.80 : 20,394.77 = 10,242.06 : x
  2. Step 2: Convert to fraction form
    14,772.80/20,394.77 = 10,242.06/x
  3. Step 3: Cross multiply
    14,772.80x = 20,394.77 × 10,242.06
  4. Step 4: Simplify right side
    14,772.80x = 208,884,406.82
  5. Step 5: Solve for x
    x = 208,884,406.82/14,772.80
  6. Step 6: Final answer
    x = 14,139.80

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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.