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Finding the Fourth Proportional to 12,403.76, 17,117.22 and 7,297.96

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Solution

The fourth proportional to 12,403.76, 17,117.22 and 7,297.96 is: 10,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.76 : 17,117.22 = 7,297.96 : x
  2. Step 2: Convert to fraction form
    12,403.76/17,117.22 = 7,297.96/x
  3. Step 3: Cross multiply
    12,403.76x = 17,117.22 × 7,297.96
  4. Step 4: Simplify right side
    12,403.76x = 124,920,786.87
  5. Step 5: Solve for x
    x = 124,920,786.87/12,403.76
  6. Step 6: Final answer
    x = 10,071.20

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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.