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Finding the Fourth Proportional to 19,829.63, 27,364.88 and 11,446.13

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Solution

The fourth proportional to 19,829.63, 27,364.88 and 11,446.13 is: 15,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.63 : 27,364.88 = 11,446.13 : x
  2. Step 2: Convert to fraction form
    19,829.63/27,364.88 = 11,446.13/x
  3. Step 3: Cross multiply
    19,829.63x = 27,364.88 × 11,446.13
  4. Step 4: Simplify right side
    19,829.63x = 313,221,865.71
  5. Step 5: Solve for x
    x = 313,221,865.71/19,829.63
  6. Step 6: Final answer
    x = 15,795.65

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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.