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Finding the Fourth Proportional to 12,636.24, 17,438.04 and 7,047.60

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Solution

The fourth proportional to 12,636.24, 17,438.04 and 7,047.60 is: 9,725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.24 : 17,438.04 = 7,047.60 : x
  2. Step 2: Convert to fraction form
    12,636.24/17,438.04 = 7,047.60/x
  3. Step 3: Cross multiply
    12,636.24x = 17,438.04 × 7,047.60
  4. Step 4: Simplify right side
    12,636.24x = 122,896,330.70
  5. Step 5: Solve for x
    x = 122,896,330.70/12,636.24
  6. Step 6: Final answer
    x = 9,725.70

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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.