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Finding the Fourth Proportional to 25,922.30, 35,776.17 and 14,594.00

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Solution

The fourth proportional to 25,922.30, 35,776.17 and 14,594.00 is: 20,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,922.30 : 35,776.17 = 14,594.00 : x
  2. Step 2: Convert to fraction form
    25,922.30/35,776.17 = 14,594.00/x
  3. Step 3: Cross multiply
    25,922.30x = 35,776.17 × 14,594.00
  4. Step 4: Simplify right side
    25,922.30x = 522,117,246.10
  5. Step 5: Solve for x
    x = 522,117,246.10/25,922.30
  6. Step 6: Final answer
    x = 20,141.63

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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.