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Finding the Fourth Proportional to 26,154, 39,248.64 and 9,738

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Solution

The fourth proportional to 26,154, 39,248.64 and 9,738 is: 14,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,154 : 39,248.64 = 9,738 : x
  2. Step 2: Convert to fraction form
    26,154/39,248.64 = 9,738/x
  3. Step 3: Cross multiply
    26,154x = 39,248.64 × 9,738
  4. Step 4: Simplify right side
    26,154x = 382,203,256.32
  5. Step 5: Solve for x
    x = 382,203,256.32/26,154
  6. Step 6: Final answer
    x = 14,613.57

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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.