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Finding the Fourth Proportional to 13,625.12, 18,803 and 7,656.43

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Solution

The fourth proportional to 13,625.12, 18,803 and 7,656.43 is: 10,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.12 : 18,803 = 7,656.43 : x
  2. Step 2: Convert to fraction form
    13,625.12/18,803 = 7,656.43/x
  3. Step 3: Cross multiply
    13,625.12x = 18,803 × 7,656.43
  4. Step 4: Simplify right side
    13,625.12x = 143,963,853.29
  5. Step 5: Solve for x
    x = 143,963,853.29/13,625.12
  6. Step 6: Final answer
    x = 10,566.06

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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.