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Finding the Fourth Proportional to 21,569.49, 32,354.24 and 12,821.49

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Solution

The fourth proportional to 21,569.49, 32,354.24 and 12,821.49 is: 19,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,569.49 : 32,354.24 = 12,821.49 : x
  2. Step 2: Convert to fraction form
    21,569.49/32,354.24 = 12,821.49/x
  3. Step 3: Cross multiply
    21,569.49x = 32,354.24 × 12,821.49
  4. Step 4: Simplify right side
    21,569.49x = 414,829,500.51
  5. Step 5: Solve for x
    x = 414,829,500.51/21,569.49
  6. Step 6: Final answer
    x = 19,232.24

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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.