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Finding the Fourth Proportional to 25,827.50, 35,641.96 and 14,649.50

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Solution

The fourth proportional to 25,827.50, 35,641.96 and 14,649.50 is: 20,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827.50 : 35,641.96 = 14,649.50 : x
  2. Step 2: Convert to fraction form
    25,827.50/35,641.96 = 14,649.50/x
  3. Step 3: Cross multiply
    25,827.50x = 35,641.96 × 14,649.50
  4. Step 4: Simplify right side
    25,827.50x = 522,136,893.02
  5. Step 5: Solve for x
    x = 522,136,893.02/25,827.50
  6. Step 6: Final answer
    x = 20,216.32

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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.