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Finding the Fourth Proportional to 19,597.23, 29,375.70 and 7,746.19

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Solution

The fourth proportional to 19,597.23, 29,375.70 and 7,746.19 is: 11,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.23 : 29,375.70 = 7,746.19 : x
  2. Step 2: Convert to fraction form
    19,597.23/29,375.70 = 7,746.19/x
  3. Step 3: Cross multiply
    19,597.23x = 29,375.70 × 7,746.19
  4. Step 4: Simplify right side
    19,597.23x = 227,549,753.58
  5. Step 5: Solve for x
    x = 227,549,753.58/19,597.23
  6. Step 6: Final answer
    x = 11,611.32

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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.