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Finding the Fourth Proportional to 13,156.68, 19,709 and 6,907.33

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Solution

The fourth proportional to 13,156.68, 19,709 and 6,907.33 is: 10,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.68 : 19,709 = 6,907.33 : x
  2. Step 2: Convert to fraction form
    13,156.68/19,709 = 6,907.33/x
  3. Step 3: Cross multiply
    13,156.68x = 19,709 × 6,907.33
  4. Step 4: Simplify right side
    13,156.68x = 136,136,566.97
  5. Step 5: Solve for x
    x = 136,136,566.97/13,156.68
  6. Step 6: Final answer
    x = 10,347.33

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