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Finding the Fourth Proportional to 21,346.41, 32,035.37 and 10,259.49

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Solution

The fourth proportional to 21,346.41, 32,035.37 and 10,259.49 is: 15,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,346.41 : 32,035.37 = 10,259.49 : x
  2. Step 2: Convert to fraction form
    21,346.41/32,035.37 = 10,259.49/x
  3. Step 3: Cross multiply
    21,346.41x = 32,035.37 × 10,259.49
  4. Step 4: Simplify right side
    21,346.41x = 328,666,506.86
  5. Step 5: Solve for x
    x = 328,666,506.86/21,346.41
  6. Step 6: Final answer
    x = 15,396.80

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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.