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Finding the Fourth Proportional to 15,874.99, 23,746.87 and 14,431.57

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Solution

The fourth proportional to 15,874.99, 23,746.87 and 14,431.57 is: 21,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.99 : 23,746.87 = 14,431.57 : x
  2. Step 2: Convert to fraction form
    15,874.99/23,746.87 = 14,431.57/x
  3. Step 3: Cross multiply
    15,874.99x = 23,746.87 × 14,431.57
  4. Step 4: Simplify right side
    15,874.99x = 342,704,575.36
  5. Step 5: Solve for x
    x = 342,704,575.36/15,874.99
  6. Step 6: Final answer
    x = 21,587.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.