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Finding the Fourth Proportional to 23,200.58, 32,017.41 and 12,590.21

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Solution

The fourth proportional to 23,200.58, 32,017.41 and 12,590.21 is: 17,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.58 : 32,017.41 = 12,590.21 : x
  2. Step 2: Convert to fraction form
    23,200.58/32,017.41 = 12,590.21/x
  3. Step 3: Cross multiply
    23,200.58x = 32,017.41 × 12,590.21
  4. Step 4: Simplify right side
    23,200.58x = 403,105,958.67
  5. Step 5: Solve for x
    x = 403,105,958.67/23,200.58
  6. Step 6: Final answer
    x = 17,374.82

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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.