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Finding the Fourth Proportional to 19,097.82, 26,363.88 and 12,735

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Solution

The fourth proportional to 19,097.82, 26,363.88 and 12,735 is: 17,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097.82 : 26,363.88 = 12,735 : x
  2. Step 2: Convert to fraction form
    19,097.82/26,363.88 = 12,735/x
  3. Step 3: Cross multiply
    19,097.82x = 26,363.88 × 12,735
  4. Step 4: Simplify right side
    19,097.82x = 335,744,011.80
  5. Step 5: Solve for x
    x = 335,744,011.80/19,097.82
  6. Step 6: Final answer
    x = 17,580.23

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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.