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Finding the Fourth Proportional to 19,122.30, 28,681.29 and 5,269.50

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Solution

The fourth proportional to 19,122.30, 28,681.29 and 5,269.50 is: 7,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122.30 : 28,681.29 = 5,269.50 : x
  2. Step 2: Convert to fraction form
    19,122.30/28,681.29 = 5,269.50/x
  3. Step 3: Cross multiply
    19,122.30x = 28,681.29 × 5,269.50
  4. Step 4: Simplify right side
    19,122.30x = 151,136,057.66
  5. Step 5: Solve for x
    x = 151,136,057.66/19,122.30
  6. Step 6: Final answer
    x = 7,903.65

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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.