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Finding the Fourth Proportional to 25,880.34, 35,689.50 and 16,432.50

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Solution

The fourth proportional to 25,880.34, 35,689.50 and 16,432.50 is: 22,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880.34 : 35,689.50 = 16,432.50 : x
  2. Step 2: Convert to fraction form
    25,880.34/35,689.50 = 16,432.50/x
  3. Step 3: Cross multiply
    25,880.34x = 35,689.50 × 16,432.50
  4. Step 4: Simplify right side
    25,880.34x = 586,467,708.75
  5. Step 5: Solve for x
    x = 586,467,708.75/25,880.34
  6. Step 6: Final answer
    x = 22,660.74

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Why These Related Problems?

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