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Finding the Fourth Proportional to 14,185.48, 19,558.26 and 9,141

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Solution

The fourth proportional to 14,185.48, 19,558.26 and 9,141 is: 12,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.48 : 19,558.26 = 9,141 : x
  2. Step 2: Convert to fraction form
    14,185.48/19,558.26 = 9,141/x
  3. Step 3: Cross multiply
    14,185.48x = 19,558.26 × 9,141
  4. Step 4: Simplify right side
    14,185.48x = 178,782,054.66
  5. Step 5: Solve for x
    x = 178,782,054.66/14,185.48
  6. Step 6: Final answer
    x = 12,603.17

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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.