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Finding the Fourth Proportional to 25,154.72, 37,708.64 and 8,503.11

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Solution

The fourth proportional to 25,154.72, 37,708.64 and 8,503.11 is: 12,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,154.72 : 37,708.64 = 8,503.11 : x
  2. Step 2: Convert to fraction form
    25,154.72/37,708.64 = 8,503.11/x
  3. Step 3: Cross multiply
    25,154.72x = 37,708.64 × 8,503.11
  4. Step 4: Simplify right side
    25,154.72x = 320,640,703.24
  5. Step 5: Solve for x
    x = 320,640,703.24/25,154.72
  6. Step 6: Final answer
    x = 12,746.74

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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.