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Finding the Fourth Proportional to 14,976.56, 22,514.08 and 13,894

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Solution

The fourth proportional to 14,976.56, 22,514.08 and 13,894 is: 20,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976.56 : 22,514.08 = 13,894 : x
  2. Step 2: Convert to fraction form
    14,976.56/22,514.08 = 13,894/x
  3. Step 3: Cross multiply
    14,976.56x = 22,514.08 × 13,894
  4. Step 4: Simplify right side
    14,976.56x = 312,810,627.52
  5. Step 5: Solve for x
    x = 312,810,627.52/14,976.56
  6. Step 6: Final answer
    x = 20,886.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.