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Finding the Fourth Proportional to 19,875.88, 29,813.82 and 6,024.88

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Solution

The fourth proportional to 19,875.88, 29,813.82 and 6,024.88 is: 9,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.88 : 29,813.82 = 6,024.88 : x
  2. Step 2: Convert to fraction form
    19,875.88/29,813.82 = 6,024.88/x
  3. Step 3: Cross multiply
    19,875.88x = 29,813.82 × 6,024.88
  4. Step 4: Simplify right side
    19,875.88x = 179,624,508.65
  5. Step 5: Solve for x
    x = 179,624,508.65/19,875.88
  6. Step 6: Final answer
    x = 9,037.31

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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.