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Finding the Fourth Proportional to 25,713.81, 35,482.73 and 16,282.17

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Solution

The fourth proportional to 25,713.81, 35,482.73 and 16,282.17 is: 22,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.81 : 35,482.73 = 16,282.17 : x
  2. Step 2: Convert to fraction form
    25,713.81/35,482.73 = 16,282.17/x
  3. Step 3: Cross multiply
    25,713.81x = 35,482.73 × 16,282.17
  4. Step 4: Simplify right side
    25,713.81x = 577,735,760.51
  5. Step 5: Solve for x
    x = 577,735,760.51/25,713.81
  6. Step 6: Final answer
    x = 22,467.92

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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.