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Finding the Fourth Proportional to 25,613.75, 35,347.25 and 14,435.75

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Solution

The fourth proportional to 25,613.75, 35,347.25 and 14,435.75 is: 19,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,613.75 : 35,347.25 = 14,435.75 : x
  2. Step 2: Convert to fraction form
    25,613.75/35,347.25 = 14,435.75/x
  3. Step 3: Cross multiply
    25,613.75x = 35,347.25 × 14,435.75
  4. Step 4: Simplify right side
    25,613.75x = 510,264,064.19
  5. Step 5: Solve for x
    x = 510,264,064.19/25,613.75
  6. Step 6: Final answer
    x = 19,921.49

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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.