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Finding the Fourth Proportional to 13,537.80, 20,312.76 and 8,606.16

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Solution

The fourth proportional to 13,537.80, 20,312.76 and 8,606.16 is: 12,913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.80 : 20,312.76 = 8,606.16 : x
  2. Step 2: Convert to fraction form
    13,537.80/20,312.76 = 8,606.16/x
  3. Step 3: Cross multiply
    13,537.80x = 20,312.76 × 8,606.16
  4. Step 4: Simplify right side
    13,537.80x = 174,814,862.60
  5. Step 5: Solve for x
    x = 174,814,862.60/13,537.80
  6. Step 6: Final answer
    x = 12,913.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.