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Finding the Fourth Proportional to 19,597.86, 29,341.98 and 10,217.34

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Solution

The fourth proportional to 19,597.86, 29,341.98 and 10,217.34 is: 15,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.86 : 29,341.98 = 10,217.34 : x
  2. Step 2: Convert to fraction form
    19,597.86/29,341.98 = 10,217.34/x
  3. Step 3: Cross multiply
    19,597.86x = 29,341.98 × 10,217.34
  4. Step 4: Simplify right side
    19,597.86x = 299,796,985.93
  5. Step 5: Solve for x
    x = 299,796,985.93/19,597.86
  6. Step 6: Final answer
    x = 15,297.43

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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.