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Finding the Fourth Proportional to 19,309.24, 28,969.71 and 8,070.03

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Solution

The fourth proportional to 19,309.24, 28,969.71 and 8,070.03 is: 12,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309.24 : 28,969.71 = 8,070.03 : x
  2. Step 2: Convert to fraction form
    19,309.24/28,969.71 = 8,070.03/x
  3. Step 3: Cross multiply
    19,309.24x = 28,969.71 × 8,070.03
  4. Step 4: Simplify right side
    19,309.24x = 233,786,428.79
  5. Step 5: Solve for x
    x = 233,786,428.79/19,309.24
  6. Step 6: Final answer
    x = 12,107.49

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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.