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Finding the Fourth Proportional to 14,202.49, 19,587.90 and 12,497.31

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Solution

The fourth proportional to 14,202.49, 19,587.90 and 12,497.31 is: 17,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.49 : 19,587.90 = 12,497.31 : x
  2. Step 2: Convert to fraction form
    14,202.49/19,587.90 = 12,497.31/x
  3. Step 3: Cross multiply
    14,202.49x = 19,587.90 × 12,497.31
  4. Step 4: Simplify right side
    14,202.49x = 244,796,058.55
  5. Step 5: Solve for x
    x = 244,796,058.55/14,202.49
  6. Step 6: Final answer
    x = 17,236.14

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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.