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Finding the Fourth Proportional to 25,600.66, 35,324.85 and 14,420.50

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Solution

The fourth proportional to 25,600.66, 35,324.85 and 14,420.50 is: 19,898.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.66 : 35,324.85 = 14,420.50 : x
  2. Step 2: Convert to fraction form
    25,600.66/35,324.85 = 14,420.50/x
  3. Step 3: Cross multiply
    25,600.66x = 35,324.85 × 14,420.50
  4. Step 4: Simplify right side
    25,600.66x = 509,401,999.43
  5. Step 5: Solve for x
    x = 509,401,999.43/25,600.66
  6. Step 6: Final answer
    x = 19,898.00

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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.