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Finding the Fourth Proportional to 13,288.08, 18,332.76 and 8,814

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Solution

The fourth proportional to 13,288.08, 18,332.76 and 8,814 is: 12,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288.08 : 18,332.76 = 8,814 : x
  2. Step 2: Convert to fraction form
    13,288.08/18,332.76 = 8,814/x
  3. Step 3: Cross multiply
    13,288.08x = 18,332.76 × 8,814
  4. Step 4: Simplify right side
    13,288.08x = 161,584,946.64
  5. Step 5: Solve for x
    x = 161,584,946.64/13,288.08
  6. Step 6: Final answer
    x = 12,160.14

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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.