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Finding the Fourth Proportional to 19,706.34, 29,549.05 and 8,600.05

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Solution

The fourth proportional to 19,706.34, 29,549.05 and 8,600.05 is: 12,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.34 : 29,549.05 = 8,600.05 : x
  2. Step 2: Convert to fraction form
    19,706.34/29,549.05 = 8,600.05/x
  3. Step 3: Cross multiply
    19,706.34x = 29,549.05 × 8,600.05
  4. Step 4: Simplify right side
    19,706.34x = 254,123,307.45
  5. Step 5: Solve for x
    x = 254,123,307.45/19,706.34
  6. Step 6: Final answer
    x = 12,895.51

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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.