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Finding the Fourth Proportional to 12,497.22, 17,245.71 and 8,302.50

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Solution

The fourth proportional to 12,497.22, 17,245.71 and 8,302.50 is: 11,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.22 : 17,245.71 = 8,302.50 : x
  2. Step 2: Convert to fraction form
    12,497.22/17,245.71 = 8,302.50/x
  3. Step 3: Cross multiply
    12,497.22x = 17,245.71 × 8,302.50
  4. Step 4: Simplify right side
    12,497.22x = 143,182,507.28
  5. Step 5: Solve for x
    x = 143,182,507.28/12,497.22
  6. Step 6: Final answer
    x = 11,457.15

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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.