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Finding the Fourth Proportional to 22,098.34, 30,497.07 and 12,668.32

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Solution

The fourth proportional to 22,098.34, 30,497.07 and 12,668.32 is: 17,483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.34 : 30,497.07 = 12,668.32 : x
  2. Step 2: Convert to fraction form
    22,098.34/30,497.07 = 12,668.32/x
  3. Step 3: Cross multiply
    22,098.34x = 30,497.07 × 12,668.32
  4. Step 4: Simplify right side
    22,098.34x = 386,346,641.82
  5. Step 5: Solve for x
    x = 386,346,641.82/22,098.34
  6. Step 6: Final answer
    x = 17,483.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.