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Finding the Fourth Proportional to 13,002.78, 19,492.32 and 6,755.46

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Solution

The fourth proportional to 13,002.78, 19,492.32 and 6,755.46 is: 10,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.78 : 19,492.32 = 6,755.46 : x
  2. Step 2: Convert to fraction form
    13,002.78/19,492.32 = 6,755.46/x
  3. Step 3: Cross multiply
    13,002.78x = 19,492.32 × 6,755.46
  4. Step 4: Simplify right side
    13,002.78x = 131,679,588.07
  5. Step 5: Solve for x
    x = 131,679,588.07/13,002.78
  6. Step 6: Final answer
    x = 10,127.03

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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.