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Finding the Fourth Proportional to 13,867.66, 19,146.54 and 8,570.26

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Solution

The fourth proportional to 13,867.66, 19,146.54 and 8,570.26 is: 11,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.66 : 19,146.54 = 8,570.26 : x
  2. Step 2: Convert to fraction form
    13,867.66/19,146.54 = 8,570.26/x
  3. Step 3: Cross multiply
    13,867.66x = 19,146.54 × 8,570.26
  4. Step 4: Simplify right side
    13,867.66x = 164,090,825.90
  5. Step 5: Solve for x
    x = 164,090,825.90/13,867.66
  6. Step 6: Final answer
    x = 11,832.63

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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.