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Finding the Fourth Proportional to 12,706.45, 19,056.22 and 5,309.36

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Solution

The fourth proportional to 12,706.45, 19,056.22 and 5,309.36 is: 7,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.45 : 19,056.22 = 5,309.36 : x
  2. Step 2: Convert to fraction form
    12,706.45/19,056.22 = 5,309.36/x
  3. Step 3: Cross multiply
    12,706.45x = 19,056.22 × 5,309.36
  4. Step 4: Simplify right side
    12,706.45x = 101,176,332.22
  5. Step 5: Solve for x
    x = 101,176,332.22/12,706.45
  6. Step 6: Final answer
    x = 7,962.60

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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.