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Finding the Fourth Proportional to 26,634, 36,756.09 and 15,307.14

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Solution

The fourth proportional to 26,634, 36,756.09 and 15,307.14 is: 21,124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,634 : 36,756.09 = 15,307.14 : x
  2. Step 2: Convert to fraction form
    26,634/36,756.09 = 15,307.14/x
  3. Step 3: Cross multiply
    26,634x = 36,756.09 × 15,307.14
  4. Step 4: Simplify right side
    26,634x = 562,630,615.48
  5. Step 5: Solve for x
    x = 562,630,615.48/26,634
  6. Step 6: Final answer
    x = 21,124.53

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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.