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Finding the Fourth Proportional to 12,384.25, 17,090.51 and 7,416.25

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Solution

The fourth proportional to 12,384.25, 17,090.51 and 7,416.25 is: 10,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.25 : 17,090.51 = 7,416.25 : x
  2. Step 2: Convert to fraction form
    12,384.25/17,090.51 = 7,416.25/x
  3. Step 3: Cross multiply
    12,384.25x = 17,090.51 × 7,416.25
  4. Step 4: Simplify right side
    12,384.25x = 126,747,457.71
  5. Step 5: Solve for x
    x = 126,747,457.71/12,384.25
  6. Step 6: Final answer
    x = 10,234.57

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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.