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Finding the Fourth Proportional to 15,814.52, 23,705.58 and 5,946.92

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Solution

The fourth proportional to 15,814.52, 23,705.58 and 5,946.92 is: 8,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.52 : 23,705.58 = 5,946.92 : x
  2. Step 2: Convert to fraction form
    15,814.52/23,705.58 = 5,946.92/x
  3. Step 3: Cross multiply
    15,814.52x = 23,705.58 × 5,946.92
  4. Step 4: Simplify right side
    15,814.52x = 140,975,187.81
  5. Step 5: Solve for x
    x = 140,975,187.81/15,814.52
  6. Step 6: Final answer
    x = 8,914.29

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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.