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Finding the Fourth Proportional to 14,323.76, 19,767.66 and 9,535.44

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Solution

The fourth proportional to 14,323.76, 19,767.66 and 9,535.44 is: 13,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.76 : 19,767.66 = 9,535.44 : x
  2. Step 2: Convert to fraction form
    14,323.76/19,767.66 = 9,535.44/x
  3. Step 3: Cross multiply
    14,323.76x = 19,767.66 × 9,535.44
  4. Step 4: Simplify right side
    14,323.76x = 188,493,335.87
  5. Step 5: Solve for x
    x = 188,493,335.87/14,323.76
  6. Step 6: Final answer
    x = 13,159.49

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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.