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Finding the Fourth Proportional to 19,608.80, 29,389.10 and 9,064.55

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Solution

The fourth proportional to 19,608.80, 29,389.10 and 9,064.55 is: 13,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.80 : 29,389.10 = 9,064.55 : x
  2. Step 2: Convert to fraction form
    19,608.80/29,389.10 = 9,064.55/x
  3. Step 3: Cross multiply
    19,608.80x = 29,389.10 × 9,064.55
  4. Step 4: Simplify right side
    19,608.80x = 266,398,994.55
  5. Step 5: Solve for x
    x = 266,398,994.55/19,608.80
  6. Step 6: Final answer
    x = 13,585.69

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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.