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Finding the Fourth Proportional to 24,590.90, 36,886.26 and 10,549.74

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Solution

The fourth proportional to 24,590.90, 36,886.26 and 10,549.74 is: 15,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,590.90 : 36,886.26 = 10,549.74 : x
  2. Step 2: Convert to fraction form
    24,590.90/36,886.26 = 10,549.74/x
  3. Step 3: Cross multiply
    24,590.90x = 36,886.26 × 10,549.74
  4. Step 4: Simplify right side
    24,590.90x = 389,140,452.57
  5. Step 5: Solve for x
    x = 389,140,452.57/24,590.90
  6. Step 6: Final answer
    x = 15,824.57

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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.