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Finding the Fourth Proportional to 13,264.08, 18,302.40 and 7,674

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Solution

The fourth proportional to 13,264.08, 18,302.40 and 7,674 is: 10,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.08 : 18,302.40 = 7,674 : x
  2. Step 2: Convert to fraction form
    13,264.08/18,302.40 = 7,674/x
  3. Step 3: Cross multiply
    13,264.08x = 18,302.40 × 7,674
  4. Step 4: Simplify right side
    13,264.08x = 140,452,617.60
  5. Step 5: Solve for x
    x = 140,452,617.60/13,264.08
  6. Step 6: Final answer
    x = 10,588.95

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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.