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Finding the Fourth Proportional to 25,259.26, 34,872.70 and 22,457

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Solution

The fourth proportional to 25,259.26, 34,872.70 and 22,457 is: 31,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,259.26 : 34,872.70 = 22,457 : x
  2. Step 2: Convert to fraction form
    25,259.26/34,872.70 = 22,457/x
  3. Step 3: Cross multiply
    25,259.26x = 34,872.70 × 22,457
  4. Step 4: Simplify right side
    25,259.26x = 783,136,223.90
  5. Step 5: Solve for x
    x = 783,136,223.90/25,259.26
  6. Step 6: Final answer
    x = 31,003.93

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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.