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Finding the Fourth Proportional to 15,290.57, 22,941.63 and 10,406.27

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Solution

The fourth proportional to 15,290.57, 22,941.63 and 10,406.27 is: 15,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,290.57 : 22,941.63 = 10,406.27 : x
  2. Step 2: Convert to fraction form
    15,290.57/22,941.63 = 10,406.27/x
  3. Step 3: Cross multiply
    15,290.57x = 22,941.63 × 10,406.27
  4. Step 4: Simplify right side
    15,290.57x = 238,736,853.37
  5. Step 5: Solve for x
    x = 238,736,853.37/15,290.57
  6. Step 6: Final answer
    x = 15,613.34

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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.