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Finding the Fourth Proportional to 22,394, 30,903.75 and 12,458

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Solution

The fourth proportional to 22,394, 30,903.75 and 12,458 is: 17,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,394 : 30,903.75 = 12,458 : x
  2. Step 2: Convert to fraction form
    22,394/30,903.75 = 12,458/x
  3. Step 3: Cross multiply
    22,394x = 30,903.75 × 12,458
  4. Step 4: Simplify right side
    22,394x = 384,998,917.50
  5. Step 5: Solve for x
    x = 384,998,917.50/22,394
  6. Step 6: Final answer
    x = 17,192.06

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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.