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Finding the Fourth Proportional to 25,589, 35,312.88 and 14,411

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Solution

The fourth proportional to 25,589, 35,312.88 and 14,411 is: 19,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589 : 35,312.88 = 14,411 : x
  2. Step 2: Convert to fraction form
    25,589/35,312.88 = 14,411/x
  3. Step 3: Cross multiply
    25,589x = 35,312.88 × 14,411
  4. Step 4: Simplify right side
    25,589x = 508,893,913.68
  5. Step 5: Solve for x
    x = 508,893,913.68/25,589
  6. Step 6: Final answer
    x = 19,887.21

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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.