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Finding the Fourth Proportional to 19,706.09, 29,506.28 and 12,295.80

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Solution

The fourth proportional to 19,706.09, 29,506.28 and 12,295.80 is: 18,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.09 : 29,506.28 = 12,295.80 : x
  2. Step 2: Convert to fraction form
    19,706.09/29,506.28 = 12,295.80/x
  3. Step 3: Cross multiply
    19,706.09x = 29,506.28 × 12,295.80
  4. Step 4: Simplify right side
    19,706.09x = 362,803,256.15
  5. Step 5: Solve for x
    x = 362,803,256.15/19,706.09
  6. Step 6: Final answer
    x = 18,410.72

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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.