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Finding the Fourth Proportional to 19,824.65, 29,737.02 and 6,686.25

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Solution

The fourth proportional to 19,824.65, 29,737.02 and 6,686.25 is: 10,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.65 : 29,737.02 = 6,686.25 : x
  2. Step 2: Convert to fraction form
    19,824.65/29,737.02 = 6,686.25/x
  3. Step 3: Cross multiply
    19,824.65x = 29,737.02 × 6,686.25
  4. Step 4: Simplify right side
    19,824.65x = 198,829,075.63
  5. Step 5: Solve for x
    x = 198,829,075.63/19,824.65
  6. Step 6: Final answer
    x = 10,029.39

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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.