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Finding the Fourth Proportional to 27,737.00, 38,277.06 and 14,990.14

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Solution

The fourth proportional to 27,737.00, 38,277.06 and 14,990.14 is: 20,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.00 : 38,277.06 = 14,990.14 : x
  2. Step 2: Convert to fraction form
    27,737.00/38,277.06 = 14,990.14/x
  3. Step 3: Cross multiply
    27,737.00x = 38,277.06 × 14,990.14
  4. Step 4: Simplify right side
    27,737.00x = 573,778,413.24
  5. Step 5: Solve for x
    x = 573,778,413.24/27,737.00
  6. Step 6: Final answer
    x = 20,686.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.