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Finding the Fourth Proportional to 14,591.16, 21,869.64 and 5,828.58

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Solution

The fourth proportional to 14,591.16, 21,869.64 and 5,828.58 is: 8,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.16 : 21,869.64 = 5,828.58 : x
  2. Step 2: Convert to fraction form
    14,591.16/21,869.64 = 5,828.58/x
  3. Step 3: Cross multiply
    14,591.16x = 21,869.64 × 5,828.58
  4. Step 4: Simplify right side
    14,591.16x = 127,468,946.31
  5. Step 5: Solve for x
    x = 127,468,946.31/14,591.16
  6. Step 6: Final answer
    x = 8,736.04

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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.