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Finding the Fourth Proportional to 15,689.54, 23,535.12 and 4,002.86

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Solution

The fourth proportional to 15,689.54, 23,535.12 and 4,002.86 is: 6,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.54 : 23,535.12 = 4,002.86 : x
  2. Step 2: Convert to fraction form
    15,689.54/23,535.12 = 4,002.86/x
  3. Step 3: Cross multiply
    15,689.54x = 23,535.12 × 4,002.86
  4. Step 4: Simplify right side
    15,689.54x = 94,207,790.44
  5. Step 5: Solve for x
    x = 94,207,790.44/15,689.54
  6. Step 6: Final answer
    x = 6,004.50

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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.