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Finding the Fourth Proportional to 23,564.70, 32,519.91 and 12,810.30

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Solution

The fourth proportional to 23,564.70, 32,519.91 and 12,810.30 is: 17,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.70 : 32,519.91 = 12,810.30 : x
  2. Step 2: Convert to fraction form
    23,564.70/32,519.91 = 12,810.30/x
  3. Step 3: Cross multiply
    23,564.70x = 32,519.91 × 12,810.30
  4. Step 4: Simplify right side
    23,564.70x = 416,589,721.77
  5. Step 5: Solve for x
    x = 416,589,721.77/23,564.70
  6. Step 6: Final answer
    x = 17,678.55

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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.