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Finding the Fourth Proportional to 15,782.92, 23,637.48 and 12,473.80

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Solution

The fourth proportional to 15,782.92, 23,637.48 and 12,473.80 is: 18,681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.92 : 23,637.48 = 12,473.80 : x
  2. Step 2: Convert to fraction form
    15,782.92/23,637.48 = 12,473.80/x
  3. Step 3: Cross multiply
    15,782.92x = 23,637.48 × 12,473.80
  4. Step 4: Simplify right side
    15,782.92x = 294,849,198.02
  5. Step 5: Solve for x
    x = 294,849,198.02/15,782.92
  6. Step 6: Final answer
    x = 18,681.54

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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.