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Finding the Fourth Proportional to 13,625.79, 18,803.64 and 7,657.50

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Solution

The fourth proportional to 13,625.79, 18,803.64 and 7,657.50 is: 10,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.79 : 18,803.64 = 7,657.50 : x
  2. Step 2: Convert to fraction form
    13,625.79/18,803.64 = 7,657.50/x
  3. Step 3: Cross multiply
    13,625.79x = 18,803.64 × 7,657.50
  4. Step 4: Simplify right side
    13,625.79x = 143,988,873.30
  5. Step 5: Solve for x
    x = 143,988,873.30/13,625.79
  6. Step 6: Final answer
    x = 10,567.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.