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Finding the Fourth Proportional to 19,357.65, 29,038.64 and 6,205.41

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Solution

The fourth proportional to 19,357.65, 29,038.64 and 6,205.41 is: 9,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,357.65 : 29,038.64 = 6,205.41 : x
  2. Step 2: Convert to fraction form
    19,357.65/29,038.64 = 6,205.41/x
  3. Step 3: Cross multiply
    19,357.65x = 29,038.64 × 6,205.41
  4. Step 4: Simplify right side
    19,357.65x = 180,196,636.02
  5. Step 5: Solve for x
    x = 180,196,636.02/19,357.65
  6. Step 6: Final answer
    x = 9,308.81

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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.