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Finding the Fourth Proportional to 21,590.57, 32,328.21 and 12,698.48

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Solution

The fourth proportional to 21,590.57, 32,328.21 and 12,698.48 is: 19,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,590.57 : 32,328.21 = 12,698.48 : x
  2. Step 2: Convert to fraction form
    21,590.57/32,328.21 = 12,698.48/x
  3. Step 3: Cross multiply
    21,590.57x = 32,328.21 × 12,698.48
  4. Step 4: Simplify right side
    21,590.57x = 410,519,128.12
  5. Step 5: Solve for x
    x = 410,519,128.12/21,590.57
  6. Step 6: Final answer
    x = 19,013.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.