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Finding the Fourth Proportional to 25,535.83, 35,238.93 and 14,205.09

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Solution

The fourth proportional to 25,535.83, 35,238.93 and 14,205.09 is: 19,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,535.83 : 35,238.93 = 14,205.09 : x
  2. Step 2: Convert to fraction form
    25,535.83/35,238.93 = 14,205.09/x
  3. Step 3: Cross multiply
    25,535.83x = 35,238.93 × 14,205.09
  4. Step 4: Simplify right side
    25,535.83x = 500,572,172.15
  5. Step 5: Solve for x
    x = 500,572,172.15/25,535.83
  6. Step 6: Final answer
    x = 19,602.74

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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.