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Finding the Fourth Proportional to 12,718.21, 17,557.74 and 9,879.24

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Solution

The fourth proportional to 12,718.21, 17,557.74 and 9,879.24 is: 13,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.21 : 17,557.74 = 9,879.24 : x
  2. Step 2: Convert to fraction form
    12,718.21/17,557.74 = 9,879.24/x
  3. Step 3: Cross multiply
    12,718.21x = 17,557.74 × 9,879.24
  4. Step 4: Simplify right side
    12,718.21x = 173,457,127.32
  5. Step 5: Solve for x
    x = 173,457,127.32/12,718.21
  6. Step 6: Final answer
    x = 13,638.49

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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.