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Finding the Fourth Proportional to 13,745.16, 18,966.70 and 7,695.72

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Solution

The fourth proportional to 13,745.16, 18,966.70 and 7,695.72 is: 10,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.16 : 18,966.70 = 7,695.72 : x
  2. Step 2: Convert to fraction form
    13,745.16/18,966.70 = 7,695.72/x
  3. Step 3: Cross multiply
    13,745.16x = 18,966.70 × 7,695.72
  4. Step 4: Simplify right side
    13,745.16x = 145,962,412.52
  5. Step 5: Solve for x
    x = 145,962,412.52/13,745.16
  6. Step 6: Final answer
    x = 10,619.19

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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.