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Finding the Fourth Proportional to 13,666.93, 20,511.54 and 7,095

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Solution

The fourth proportional to 13,666.93, 20,511.54 and 7,095 is: 10,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.93 : 20,511.54 = 7,095 : x
  2. Step 2: Convert to fraction form
    13,666.93/20,511.54 = 7,095/x
  3. Step 3: Cross multiply
    13,666.93x = 20,511.54 × 7,095
  4. Step 4: Simplify right side
    13,666.93x = 145,529,376.30
  5. Step 5: Solve for x
    x = 145,529,376.30/13,666.93
  6. Step 6: Final answer
    x = 10,648.29

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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.