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Finding the Fourth Proportional to 19,304, 26,641.14 and 12,227.84

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Solution

The fourth proportional to 19,304, 26,641.14 and 12,227.84 is: 16,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,304 : 26,641.14 = 12,227.84 : x
  2. Step 2: Convert to fraction form
    19,304/26,641.14 = 12,227.84/x
  3. Step 3: Cross multiply
    19,304x = 26,641.14 × 12,227.84
  4. Step 4: Simplify right side
    19,304x = 325,763,597.34
  5. Step 5: Solve for x
    x = 325,763,597.34/19,304
  6. Step 6: Final answer
    x = 16,875.45

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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.