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Finding the Fourth Proportional to 19,145.16, 28,723.21 and 8,046.13

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Solution

The fourth proportional to 19,145.16, 28,723.21 and 8,046.13 is: 12,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,145.16 : 28,723.21 = 8,046.13 : x
  2. Step 2: Convert to fraction form
    19,145.16/28,723.21 = 8,046.13/x
  3. Step 3: Cross multiply
    19,145.16x = 28,723.21 × 8,046.13
  4. Step 4: Simplify right side
    19,145.16x = 231,110,681.68
  5. Step 5: Solve for x
    x = 231,110,681.68/19,145.16
  6. Step 6: Final answer
    x = 12,071.49

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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.