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Finding the Fourth Proportional to 14,411.82, 19,882.02 and 9,030.96

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Solution

The fourth proportional to 14,411.82, 19,882.02 and 9,030.96 is: 12,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.82 : 19,882.02 = 9,030.96 : x
  2. Step 2: Convert to fraction form
    14,411.82/19,882.02 = 9,030.96/x
  3. Step 3: Cross multiply
    14,411.82x = 19,882.02 × 9,030.96
  4. Step 4: Simplify right side
    14,411.82x = 179,553,727.34
  5. Step 5: Solve for x
    x = 179,553,727.34/14,411.82
  6. Step 6: Final answer
    x = 12,458.78

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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.