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Finding the Fourth Proportional to 22,569.46, 31,113.21 and 15,834.22

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Solution

The fourth proportional to 22,569.46, 31,113.21 and 15,834.22 is: 21,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,569.46 : 31,113.21 = 15,834.22 : x
  2. Step 2: Convert to fraction form
    22,569.46/31,113.21 = 15,834.22/x
  3. Step 3: Cross multiply
    22,569.46x = 31,113.21 × 15,834.22
  4. Step 4: Simplify right side
    22,569.46x = 492,653,412.05
  5. Step 5: Solve for x
    x = 492,653,412.05/22,569.46
  6. Step 6: Final answer
    x = 21,828.32

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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.