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Finding the Fourth Proportional to 25,274.60, 37,916.76 and 9,691.01

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Solution

The fourth proportional to 25,274.60, 37,916.76 and 9,691.01 is: 14,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.60 : 37,916.76 = 9,691.01 : x
  2. Step 2: Convert to fraction form
    25,274.60/37,916.76 = 9,691.01/x
  3. Step 3: Cross multiply
    25,274.60x = 37,916.76 × 9,691.01
  4. Step 4: Simplify right side
    25,274.60x = 367,451,616.59
  5. Step 5: Solve for x
    x = 367,451,616.59/25,274.60
  6. Step 6: Final answer
    x = 14,538.38

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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.