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Finding the Fourth Proportional to 19,730.53, 27,228.04 and 11,233

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Solution

The fourth proportional to 19,730.53, 27,228.04 and 11,233 is: 15,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.53 : 27,228.04 = 11,233 : x
  2. Step 2: Convert to fraction form
    19,730.53/27,228.04 = 11,233/x
  3. Step 3: Cross multiply
    19,730.53x = 27,228.04 × 11,233
  4. Step 4: Simplify right side
    19,730.53x = 305,852,573.32
  5. Step 5: Solve for x
    x = 305,852,573.32/19,730.53
  6. Step 6: Final answer
    x = 15,501.49

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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.