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Finding the Fourth Proportional to 25,709, 35,476.94 and 14,223.22

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Solution

The fourth proportional to 25,709, 35,476.94 and 14,223.22 is: 19,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709 : 35,476.94 = 14,223.22 : x
  2. Step 2: Convert to fraction form
    25,709/35,476.94 = 14,223.22/x
  3. Step 3: Cross multiply
    25,709x = 35,476.94 × 14,223.22
  4. Step 4: Simplify right side
    25,709x = 504,596,322.55
  5. Step 5: Solve for x
    x = 504,596,322.55/25,709
  6. Step 6: Final answer
    x = 19,627.22

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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.