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Finding the Fourth Proportional to 12,415.96, 17,152.86 and 9,266.68

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Solution

The fourth proportional to 12,415.96, 17,152.86 and 9,266.68 is: 12,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.96 : 17,152.86 = 9,266.68 : x
  2. Step 2: Convert to fraction form
    12,415.96/17,152.86 = 9,266.68/x
  3. Step 3: Cross multiply
    12,415.96x = 17,152.86 × 9,266.68
  4. Step 4: Simplify right side
    12,415.96x = 158,950,064.70
  5. Step 5: Solve for x
    x = 158,950,064.70/12,415.96
  6. Step 6: Final answer
    x = 12,802.08

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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.