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Finding the Fourth Proportional to 15,782.83, 23,672.01 and 6,426.93

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Solution

The fourth proportional to 15,782.83, 23,672.01 and 6,426.93 is: 9,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.83 : 23,672.01 = 6,426.93 : x
  2. Step 2: Convert to fraction form
    15,782.83/23,672.01 = 6,426.93/x
  3. Step 3: Cross multiply
    15,782.83x = 23,672.01 × 6,426.93
  4. Step 4: Simplify right side
    15,782.83x = 152,138,351.23
  5. Step 5: Solve for x
    x = 152,138,351.23/15,782.83
  6. Step 6: Final answer
    x = 9,639.48

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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.