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Finding the Fourth Proportional to 25,830.96, 35,648.09 and 14,499.87

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Solution

The fourth proportional to 25,830.96, 35,648.09 and 14,499.87 is: 20,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.96 : 35,648.09 = 14,499.87 : x
  2. Step 2: Convert to fraction form
    25,830.96/35,648.09 = 14,499.87/x
  3. Step 3: Cross multiply
    25,830.96x = 35,648.09 × 14,499.87
  4. Step 4: Simplify right side
    25,830.96x = 516,892,598.25
  5. Step 5: Solve for x
    x = 516,892,598.25/25,830.96
  6. Step 6: Final answer
    x = 20,010.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.