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Finding the Fourth Proportional to 14,108.82, 19,465.02 and 8,443.74

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Solution

The fourth proportional to 14,108.82, 19,465.02 and 8,443.74 is: 11,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.82 : 19,465.02 = 8,443.74 : x
  2. Step 2: Convert to fraction form
    14,108.82/19,465.02 = 8,443.74/x
  3. Step 3: Cross multiply
    14,108.82x = 19,465.02 × 8,443.74
  4. Step 4: Simplify right side
    14,108.82x = 164,357,567.97
  5. Step 5: Solve for x
    x = 164,357,567.97/14,108.82
  6. Step 6: Final answer
    x = 11,649.28

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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.