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Finding the Fourth Proportional to 20,684.80, 31,038 and 19,569.52

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Solution

The fourth proportional to 20,684.80, 31,038 and 19,569.52 is: 29,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.80 : 31,038 = 19,569.52 : x
  2. Step 2: Convert to fraction form
    20,684.80/31,038 = 19,569.52/x
  3. Step 3: Cross multiply
    20,684.80x = 31,038 × 19,569.52
  4. Step 4: Simplify right side
    20,684.80x = 607,398,761.76
  5. Step 5: Solve for x
    x = 607,398,761.76/20,684.80
  6. Step 6: Final answer
    x = 29,364.50

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Why These Related Problems?

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