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Finding the Fourth Proportional to 13,284.84, 18,333.12 and 7,316.64

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Solution

The fourth proportional to 13,284.84, 18,333.12 and 7,316.64 is: 10,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.84 : 18,333.12 = 7,316.64 : x
  2. Step 2: Convert to fraction form
    13,284.84/18,333.12 = 7,316.64/x
  3. Step 3: Cross multiply
    13,284.84x = 18,333.12 × 7,316.64
  4. Step 4: Simplify right side
    13,284.84x = 134,136,839.12
  5. Step 5: Solve for x
    x = 134,136,839.12/13,284.84
  6. Step 6: Final answer
    x = 10,096.99

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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.