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Finding the Fourth Proportional to 12,801.94, 17,666.16 and 7,136.40

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Solution

The fourth proportional to 12,801.94, 17,666.16 and 7,136.40 is: 9,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.94 : 17,666.16 = 7,136.40 : x
  2. Step 2: Convert to fraction form
    12,801.94/17,666.16 = 7,136.40/x
  3. Step 3: Cross multiply
    12,801.94x = 17,666.16 × 7,136.40
  4. Step 4: Simplify right side
    12,801.94x = 126,072,784.22
  5. Step 5: Solve for x
    x = 126,072,784.22/12,801.94
  6. Step 6: Final answer
    x = 9,847.94

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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.