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Finding the Fourth Proportional to 25,527, 35,222.09 and 14,914.58

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Solution

The fourth proportional to 25,527, 35,222.09 and 14,914.58 is: 20,579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,527 : 35,222.09 = 14,914.58 : x
  2. Step 2: Convert to fraction form
    25,527/35,222.09 = 14,914.58/x
  3. Step 3: Cross multiply
    25,527x = 35,222.09 × 14,914.58
  4. Step 4: Simplify right side
    25,527x = 525,322,428.39
  5. Step 5: Solve for x
    x = 525,322,428.39/25,527
  6. Step 6: Final answer
    x = 20,579.09

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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.