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Finding the Fourth Proportional to 25,592, 35,317.02 and 14,414

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Solution

The fourth proportional to 25,592, 35,317.02 and 14,414 is: 19,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,592 : 35,317.02 = 14,414 : x
  2. Step 2: Convert to fraction form
    25,592/35,317.02 = 14,414/x
  3. Step 3: Cross multiply
    25,592x = 35,317.02 × 14,414
  4. Step 4: Simplify right side
    25,592x = 509,059,526.28
  5. Step 5: Solve for x
    x = 509,059,526.28/25,592
  6. Step 6: Final answer
    x = 19,891.35

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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.