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Finding the Fourth Proportional to 13,153.41, 19,698.59 and 9,585.97

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Solution

The fourth proportional to 13,153.41, 19,698.59 and 9,585.97 is: 14,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.41 : 19,698.59 = 9,585.97 : x
  2. Step 2: Convert to fraction form
    13,153.41/19,698.59 = 9,585.97/x
  3. Step 3: Cross multiply
    13,153.41x = 19,698.59 × 9,585.97
  4. Step 4: Simplify right side
    13,153.41x = 188,830,067.50
  5. Step 5: Solve for x
    x = 188,830,067.50/13,153.41
  6. Step 6: Final answer
    x = 14,355.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.