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Finding the Fourth Proportional to 25,568.22, 35,281.08 and 14,235

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Solution

The fourth proportional to 25,568.22, 35,281.08 and 14,235 is: 19,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,568.22 : 35,281.08 = 14,235 : x
  2. Step 2: Convert to fraction form
    25,568.22/35,281.08 = 14,235/x
  3. Step 3: Cross multiply
    25,568.22x = 35,281.08 × 14,235
  4. Step 4: Simplify right side
    25,568.22x = 502,226,173.80
  5. Step 5: Solve for x
    x = 502,226,173.80/25,568.22
  6. Step 6: Final answer
    x = 19,642.59

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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.