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Finding the Fourth Proportional to 25,916.72, 35,758.72 and 14,584

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Solution

The fourth proportional to 25,916.72, 35,758.72 and 14,584 is: 20,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,916.72 : 35,758.72 = 14,584 : x
  2. Step 2: Convert to fraction form
    25,916.72/35,758.72 = 14,584/x
  3. Step 3: Cross multiply
    25,916.72x = 35,758.72 × 14,584
  4. Step 4: Simplify right side
    25,916.72x = 521,505,172.48
  5. Step 5: Solve for x
    x = 521,505,172.48/25,916.72
  6. Step 6: Final answer
    x = 20,122.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.