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Finding the Fourth Proportional to 23,442.65, 32,349.61 and 12,830.23

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Solution

The fourth proportional to 23,442.65, 32,349.61 and 12,830.23 is: 17,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442.65 : 32,349.61 = 12,830.23 : x
  2. Step 2: Convert to fraction form
    23,442.65/32,349.61 = 12,830.23/x
  3. Step 3: Cross multiply
    23,442.65x = 32,349.61 × 12,830.23
  4. Step 4: Simplify right side
    23,442.65x = 415,052,936.71
  5. Step 5: Solve for x
    x = 415,052,936.71/23,442.65
  6. Step 6: Final answer
    x = 17,705.03

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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.