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Finding the Fourth Proportional to 13,973.82, 19,282.24 and 8,005.14

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Solution

The fourth proportional to 13,973.82, 19,282.24 and 8,005.14 is: 11,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.82 : 19,282.24 = 8,005.14 : x
  2. Step 2: Convert to fraction form
    13,973.82/19,282.24 = 8,005.14/x
  3. Step 3: Cross multiply
    13,973.82x = 19,282.24 × 8,005.14
  4. Step 4: Simplify right side
    13,973.82x = 154,357,030.71
  5. Step 5: Solve for x
    x = 154,357,030.71/13,973.82
  6. Step 6: Final answer
    x = 11,046.16

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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.