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Finding the Fourth Proportional to 25,822.50, 35,625.90 and 16,875.18

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Solution

The fourth proportional to 25,822.50, 35,625.90 and 16,875.18 is: 23,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822.50 : 35,625.90 = 16,875.18 : x
  2. Step 2: Convert to fraction form
    25,822.50/35,625.90 = 16,875.18/x
  3. Step 3: Cross multiply
    25,822.50x = 35,625.90 × 16,875.18
  4. Step 4: Simplify right side
    25,822.50x = 601,193,475.16
  5. Step 5: Solve for x
    x = 601,193,475.16/25,822.50
  6. Step 6: Final answer
    x = 23,281.77

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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.