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Finding the Fourth Proportional to 22,276, 30,729.12 and 13,886.56

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Solution

The fourth proportional to 22,276, 30,729.12 and 13,886.56 is: 19,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,276 : 30,729.12 = 13,886.56 : x
  2. Step 2: Convert to fraction form
    22,276/30,729.12 = 13,886.56/x
  3. Step 3: Cross multiply
    22,276x = 30,729.12 × 13,886.56
  4. Step 4: Simplify right side
    22,276x = 426,721,768.63
  5. Step 5: Solve for x
    x = 426,721,768.63/22,276
  6. Step 6: Final answer
    x = 19,156.12

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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.