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Finding the Fourth Proportional to 23,530.83, 32,473.07 and 12,920.51

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Solution

The fourth proportional to 23,530.83, 32,473.07 and 12,920.51 is: 17,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.83 : 32,473.07 = 12,920.51 : x
  2. Step 2: Convert to fraction form
    23,530.83/32,473.07 = 12,920.51/x
  3. Step 3: Cross multiply
    23,530.83x = 32,473.07 × 12,920.51
  4. Step 4: Simplify right side
    23,530.83x = 419,568,641.60
  5. Step 5: Solve for x
    x = 419,568,641.60/23,530.83
  6. Step 6: Final answer
    x = 17,830.59

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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.