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Finding the Fourth Proportional to 13,072.16, 18,039.53 and 7,407.99

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Solution

The fourth proportional to 13,072.16, 18,039.53 and 7,407.99 is: 10,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.16 : 18,039.53 = 7,407.99 : x
  2. Step 2: Convert to fraction form
    13,072.16/18,039.53 = 7,407.99/x
  3. Step 3: Cross multiply
    13,072.16x = 18,039.53 × 7,407.99
  4. Step 4: Simplify right side
    13,072.16x = 133,636,549.13
  5. Step 5: Solve for x
    x = 133,636,549.13/13,072.16
  6. Step 6: Final answer
    x = 10,222.99

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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.