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Finding the Fourth Proportional to 15,814.63, 23,709.52 and 5,952.75

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Solution

The fourth proportional to 15,814.63, 23,709.52 and 5,952.75 is: 8,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.63 : 23,709.52 = 5,952.75 : x
  2. Step 2: Convert to fraction form
    15,814.63/23,709.52 = 5,952.75/x
  3. Step 3: Cross multiply
    15,814.63x = 23,709.52 × 5,952.75
  4. Step 4: Simplify right side
    15,814.63x = 141,136,845.18
  5. Step 5: Solve for x
    x = 141,136,845.18/15,814.63
  6. Step 6: Final answer
    x = 8,924.45

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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.