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Finding the Fourth Proportional to 14,913.77, 20,580.59 and 8,199.40

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Solution

The fourth proportional to 14,913.77, 20,580.59 and 8,199.40 is: 11,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,913.77 : 20,580.59 = 8,199.40 : x
  2. Step 2: Convert to fraction form
    14,913.77/20,580.59 = 8,199.40/x
  3. Step 3: Cross multiply
    14,913.77x = 20,580.59 × 8,199.40
  4. Step 4: Simplify right side
    14,913.77x = 168,748,489.65
  5. Step 5: Solve for x
    x = 168,748,489.65/14,913.77
  6. Step 6: Final answer
    x = 11,314.95

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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.