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Finding the Fourth Proportional to 14,671.77, 20,246.65 and 8,384.14

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Solution

The fourth proportional to 14,671.77, 20,246.65 and 8,384.14 is: 11,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671.77 : 20,246.65 = 8,384.14 : x
  2. Step 2: Convert to fraction form
    14,671.77/20,246.65 = 8,384.14/x
  3. Step 3: Cross multiply
    14,671.77x = 20,246.65 × 8,384.14
  4. Step 4: Simplify right side
    14,671.77x = 169,750,748.13
  5. Step 5: Solve for x
    x = 169,750,748.13/14,671.77
  6. Step 6: Final answer
    x = 11,569.89

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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.