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Finding the Fourth Proportional to 14,901.77, 20,564.96 and 8,188.02

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Solution

The fourth proportional to 14,901.77, 20,564.96 and 8,188.02 is: 11,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.77 : 20,564.96 = 8,188.02 : x
  2. Step 2: Convert to fraction form
    14,901.77/20,564.96 = 8,188.02/x
  3. Step 3: Cross multiply
    14,901.77x = 20,564.96 × 8,188.02
  4. Step 4: Simplify right side
    14,901.77x = 168,386,262.84
  5. Step 5: Solve for x
    x = 168,386,262.84/14,901.77
  6. Step 6: Final answer
    x = 11,299.75

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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.