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Finding the Fourth Proportional to 14,090.24, 19,444.92 and 8,498

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Solution

The fourth proportional to 14,090.24, 19,444.92 and 8,498 is: 11,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.24 : 19,444.92 = 8,498 : x
  2. Step 2: Convert to fraction form
    14,090.24/19,444.92 = 8,498/x
  3. Step 3: Cross multiply
    14,090.24x = 19,444.92 × 8,498
  4. Step 4: Simplify right side
    14,090.24x = 165,242,930.16
  5. Step 5: Solve for x
    x = 165,242,930.16/14,090.24
  6. Step 6: Final answer
    x = 11,727.47

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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.