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Finding the Fourth Proportional to 15,762.04, 21,751.68 and 9,474.52

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Solution

The fourth proportional to 15,762.04, 21,751.68 and 9,474.52 is: 13,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.04 : 21,751.68 = 9,474.52 : x
  2. Step 2: Convert to fraction form
    15,762.04/21,751.68 = 9,474.52/x
  3. Step 3: Cross multiply
    15,762.04x = 21,751.68 × 9,474.52
  4. Step 4: Simplify right side
    15,762.04x = 206,086,727.19
  5. Step 5: Solve for x
    x = 206,086,727.19/15,762.04
  6. Step 6: Final answer
    x = 13,074.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.