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Finding the Fourth Proportional to 17,430.83, 26,143.49 and 7,567.46

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Solution

The fourth proportional to 17,430.83, 26,143.49 and 7,567.46 is: 11,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.83 : 26,143.49 = 7,567.46 : x
  2. Step 2: Convert to fraction form
    17,430.83/26,143.49 = 7,567.46/x
  3. Step 3: Cross multiply
    17,430.83x = 26,143.49 × 7,567.46
  4. Step 4: Simplify right side
    17,430.83x = 197,839,646.28
  5. Step 5: Solve for x
    x = 197,839,646.28/17,430.83
  6. Step 6: Final answer
    x = 11,349.99

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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.