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Finding the Fourth Proportional to 25,646.90, 35,408.73 and 16,577.01

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Solution

The fourth proportional to 25,646.90, 35,408.73 and 16,577.01 is: 22,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646.90 : 35,408.73 = 16,577.01 : x
  2. Step 2: Convert to fraction form
    25,646.90/35,408.73 = 16,577.01/x
  3. Step 3: Cross multiply
    25,646.90x = 35,408.73 × 16,577.01
  4. Step 4: Simplify right side
    25,646.90x = 586,970,918.38
  5. Step 5: Solve for x
    x = 586,970,918.38/25,646.90
  6. Step 6: Final answer
    x = 22,886.62

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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.