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Finding the Fourth Proportional to 16,290.25, 22,482.96 and 10,322.47

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Solution

The fourth proportional to 16,290.25, 22,482.96 and 10,322.47 is: 14,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290.25 : 22,482.96 = 10,322.47 : x
  2. Step 2: Convert to fraction form
    16,290.25/22,482.96 = 10,322.47/x
  3. Step 3: Cross multiply
    16,290.25x = 22,482.96 × 10,322.47
  4. Step 4: Simplify right side
    16,290.25x = 232,079,669.51
  5. Step 5: Solve for x
    x = 232,079,669.51/16,290.25
  6. Step 6: Final answer
    x = 14,246.54

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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.