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Finding the Fourth Proportional to 14,713.98, 20,288.80 and 13,780.86

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Solution

The fourth proportional to 14,713.98, 20,288.80 and 13,780.86 is: 19,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.98 : 20,288.80 = 13,780.86 : x
  2. Step 2: Convert to fraction form
    14,713.98/20,288.80 = 13,780.86/x
  3. Step 3: Cross multiply
    14,713.98x = 20,288.80 × 13,780.86
  4. Step 4: Simplify right side
    14,713.98x = 279,597,112.37
  5. Step 5: Solve for x
    x = 279,597,112.37/14,713.98
  6. Step 6: Final answer
    x = 19,002.14

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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.