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Finding the Fourth Proportional to 19,434.86, 29,166.70 and 14,448.77

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Solution

The fourth proportional to 19,434.86, 29,166.70 and 14,448.77 is: 21,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,434.86 : 29,166.70 = 14,448.77 : x
  2. Step 2: Convert to fraction form
    19,434.86/29,166.70 = 14,448.77/x
  3. Step 3: Cross multiply
    19,434.86x = 29,166.70 × 14,448.77
  4. Step 4: Simplify right side
    19,434.86x = 421,422,939.96
  5. Step 5: Solve for x
    x = 421,422,939.96/19,434.86
  6. Step 6: Final answer
    x = 21,683.87

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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.