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Finding the Fourth Proportional to 19,730.34, 27,233.53 and 12,560.47

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Solution

The fourth proportional to 19,730.34, 27,233.53 and 12,560.47 is: 17,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.34 : 27,233.53 = 12,560.47 : x
  2. Step 2: Convert to fraction form
    19,730.34/27,233.53 = 12,560.47/x
  3. Step 3: Cross multiply
    19,730.34x = 27,233.53 × 12,560.47
  4. Step 4: Simplify right side
    19,730.34x = 342,065,936.56
  5. Step 5: Solve for x
    x = 342,065,936.56/19,730.34
  6. Step 6: Final answer
    x = 17,337.05

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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.