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Finding the Fourth Proportional to 13,064.59, 19,596.89 and 7,233.50

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Solution

The fourth proportional to 13,064.59, 19,596.89 and 7,233.50 is: 10,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.59 : 19,596.89 = 7,233.50 : x
  2. Step 2: Convert to fraction form
    13,064.59/19,596.89 = 7,233.50/x
  3. Step 3: Cross multiply
    13,064.59x = 19,596.89 × 7,233.50
  4. Step 4: Simplify right side
    13,064.59x = 141,754,130.20
  5. Step 5: Solve for x
    x = 141,754,130.20/13,064.59
  6. Step 6: Final answer
    x = 10,850.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.