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Finding the Fourth Proportional to 13,097.33, 19,645.98 and 4,332.24

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Solution

The fourth proportional to 13,097.33, 19,645.98 and 4,332.24 is: 6,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.33 : 19,645.98 = 4,332.24 : x
  2. Step 2: Convert to fraction form
    13,097.33/19,645.98 = 4,332.24/x
  3. Step 3: Cross multiply
    13,097.33x = 19,645.98 × 4,332.24
  4. Step 4: Simplify right side
    13,097.33x = 85,111,108.52
  5. Step 5: Solve for x
    x = 85,111,108.52/13,097.33
  6. Step 6: Final answer
    x = 6,498.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.