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Finding the Fourth Proportional to 12,960.34, 17,881.09 and 7,656.98

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Solution

The fourth proportional to 12,960.34, 17,881.09 and 7,656.98 is: 10,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.34 : 17,881.09 = 7,656.98 : x
  2. Step 2: Convert to fraction form
    12,960.34/17,881.09 = 7,656.98/x
  3. Step 3: Cross multiply
    12,960.34x = 17,881.09 × 7,656.98
  4. Step 4: Simplify right side
    12,960.34x = 136,915,148.51
  5. Step 5: Solve for x
    x = 136,915,148.51/12,960.34
  6. Step 6: Final answer
    x = 10,564.16

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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.