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Finding the Fourth Proportional to 25,274.35, 37,918.82 and 7,746.76

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Solution

The fourth proportional to 25,274.35, 37,918.82 and 7,746.76 is: 11,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.35 : 37,918.82 = 7,746.76 : x
  2. Step 2: Convert to fraction form
    25,274.35/37,918.82 = 7,746.76/x
  3. Step 3: Cross multiply
    25,274.35x = 37,918.82 × 7,746.76
  4. Step 4: Simplify right side
    25,274.35x = 293,748,064.79
  5. Step 5: Solve for x
    x = 293,748,064.79/25,274.35
  6. Step 6: Final answer
    x = 11,622.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.