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Finding the Fourth Proportional to 12,656.24, 17,465.74 and 6,991.12

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Solution

The fourth proportional to 12,656.24, 17,465.74 and 6,991.12 is: 9,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.24 : 17,465.74 = 6,991.12 : x
  2. Step 2: Convert to fraction form
    12,656.24/17,465.74 = 6,991.12/x
  3. Step 3: Cross multiply
    12,656.24x = 17,465.74 × 6,991.12
  4. Step 4: Simplify right side
    12,656.24x = 122,105,088.58
  5. Step 5: Solve for x
    x = 122,105,088.58/12,656.24
  6. Step 6: Final answer
    x = 9,647.82

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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.