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Finding the Fourth Proportional to 17,884.15, 26,829.32 and 7,359.95

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Solution

The fourth proportional to 17,884.15, 26,829.32 and 7,359.95 is: 11,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.15 : 26,829.32 = 7,359.95 : x
  2. Step 2: Convert to fraction form
    17,884.15/26,829.32 = 7,359.95/x
  3. Step 3: Cross multiply
    17,884.15x = 26,829.32 × 7,359.95
  4. Step 4: Simplify right side
    17,884.15x = 197,462,484.01
  5. Step 5: Solve for x
    x = 197,462,484.01/17,884.15
  6. Step 6: Final answer
    x = 11,041.20

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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.