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Finding the Fourth Proportional to 25,527, 35,227.26 and 14,349

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Solution

The fourth proportional to 25,527, 35,227.26 and 14,349 is: 19,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,527 : 35,227.26 = 14,349 : x
  2. Step 2: Convert to fraction form
    25,527/35,227.26 = 14,349/x
  3. Step 3: Cross multiply
    25,527x = 35,227.26 × 14,349
  4. Step 4: Simplify right side
    25,527x = 505,475,953.74
  5. Step 5: Solve for x
    x = 505,475,953.74/25,527
  6. Step 6: Final answer
    x = 19,801.62

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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.