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Finding the Fourth Proportional to 12,372.16, 17,072.40 and 7,656.16

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Solution

The fourth proportional to 12,372.16, 17,072.40 and 7,656.16 is: 10,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.16 : 17,072.40 = 7,656.16 : x
  2. Step 2: Convert to fraction form
    12,372.16/17,072.40 = 7,656.16/x
  3. Step 3: Cross multiply
    12,372.16x = 17,072.40 × 7,656.16
  4. Step 4: Simplify right side
    12,372.16x = 130,709,025.98
  5. Step 5: Solve for x
    x = 130,709,025.98/12,372.16
  6. Step 6: Final answer
    x = 10,564.77

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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.