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Finding the Fourth Proportional to 19,564.50, 29,355.66 and 7,875.39

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Solution

The fourth proportional to 19,564.50, 29,355.66 and 7,875.39 is: 11,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.50 : 29,355.66 = 7,875.39 : x
  2. Step 2: Convert to fraction form
    19,564.50/29,355.66 = 7,875.39/x
  3. Step 3: Cross multiply
    19,564.50x = 29,355.66 × 7,875.39
  4. Step 4: Simplify right side
    19,564.50x = 231,187,271.21
  5. Step 5: Solve for x
    x = 231,187,271.21/19,564.50
  6. Step 6: Final answer
    x = 11,816.67

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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.