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Finding the Fourth Proportional to 13,037.85, 19,553.76 and 7,774.34

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Solution

The fourth proportional to 13,037.85, 19,553.76 and 7,774.34 is: 11,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.85 : 19,553.76 = 7,774.34 : x
  2. Step 2: Convert to fraction form
    13,037.85/19,553.76 = 7,774.34/x
  3. Step 3: Cross multiply
    13,037.85x = 19,553.76 × 7,774.34
  4. Step 4: Simplify right side
    13,037.85x = 152,017,480.75
  5. Step 5: Solve for x
    x = 152,017,480.75/13,037.85
  6. Step 6: Final answer
    x = 11,659.70

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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.