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Finding the Fourth Proportional to 25,602, 35,331.12 and 14,424

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Solution

The fourth proportional to 25,602, 35,331.12 and 14,424 is: 19,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602 : 35,331.12 = 14,424 : x
  2. Step 2: Convert to fraction form
    25,602/35,331.12 = 14,424/x
  3. Step 3: Cross multiply
    25,602x = 35,331.12 × 14,424
  4. Step 4: Simplify right side
    25,602x = 509,616,074.88
  5. Step 5: Solve for x
    x = 509,616,074.88/25,602
  6. Step 6: Final answer
    x = 19,905.32

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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.