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Finding the Fourth Proportional to 19,408.86, 29,114.10 and 6,259.59

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Solution

The fourth proportional to 19,408.86, 29,114.10 and 6,259.59 is: 9,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408.86 : 29,114.10 = 6,259.59 : x
  2. Step 2: Convert to fraction form
    19,408.86/29,114.10 = 6,259.59/x
  3. Step 3: Cross multiply
    19,408.86x = 29,114.10 × 6,259.59
  4. Step 4: Simplify right side
    19,408.86x = 182,242,329.22
  5. Step 5: Solve for x
    x = 182,242,329.22/19,408.86
  6. Step 6: Final answer
    x = 9,389.65

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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.