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Finding the Fourth Proportional to 12,981.93, 17,894.01 and 10,144.35

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Solution

The fourth proportional to 12,981.93, 17,894.01 and 10,144.35 is: 13,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.93 : 17,894.01 = 10,144.35 : x
  2. Step 2: Convert to fraction form
    12,981.93/17,894.01 = 10,144.35/x
  3. Step 3: Cross multiply
    12,981.93x = 17,894.01 × 10,144.35
  4. Step 4: Simplify right side
    12,981.93x = 181,523,100.34
  5. Step 5: Solve for x
    x = 181,523,100.34/12,981.93
  6. Step 6: Final answer
    x = 13,982.75

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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.