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Finding the Fourth Proportional to 15,298, 21,110.94 and 8,583.58

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Solution

The fourth proportional to 15,298, 21,110.94 and 8,583.58 is: 11,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298 : 21,110.94 = 8,583.58 : x
  2. Step 2: Convert to fraction form
    15,298/21,110.94 = 8,583.58/x
  3. Step 3: Cross multiply
    15,298x = 21,110.94 × 8,583.58
  4. Step 4: Simplify right side
    15,298x = 181,207,442.37
  5. Step 5: Solve for x
    x = 181,207,442.37/15,298
  6. Step 6: Final answer
    x = 11,845.17

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Why These Related Problems?

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