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Finding the Fourth Proportional to 17,884.19, 26,829.33 and 7,359.91

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Solution

The fourth proportional to 17,884.19, 26,829.33 and 7,359.91 is: 11,041.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.19 : 26,829.33 = 7,359.91 : x
  2. Step 2: Convert to fraction form
    17,884.19/26,829.33 = 7,359.91/x
  3. Step 3: Cross multiply
    17,884.19x = 26,829.33 × 7,359.91
  4. Step 4: Simplify right side
    17,884.19x = 197,461,510.40
  5. Step 5: Solve for x
    x = 197,461,510.40/17,884.19
  6. Step 6: Final answer
    x = 11,041.12

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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.