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Finding the Fourth Proportional to 13,981, 19,293.85 and 8,013.02

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Solution

The fourth proportional to 13,981, 19,293.85 and 8,013.02 is: 11,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981 : 19,293.85 = 8,013.02 : x
  2. Step 2: Convert to fraction form
    13,981/19,293.85 = 8,013.02/x
  3. Step 3: Cross multiply
    13,981x = 19,293.85 × 8,013.02
  4. Step 4: Simplify right side
    13,981x = 154,601,965.86
  5. Step 5: Solve for x
    x = 154,601,965.86/13,981
  6. Step 6: Final answer
    x = 11,058.00

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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.