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Finding the Fourth Proportional to 16,402.86, 22,639.65 and 10,429.86

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Solution

The fourth proportional to 16,402.86, 22,639.65 and 10,429.86 is: 14,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.86 : 22,639.65 = 10,429.86 : x
  2. Step 2: Convert to fraction form
    16,402.86/22,639.65 = 10,429.86/x
  3. Step 3: Cross multiply
    16,402.86x = 22,639.65 × 10,429.86
  4. Step 4: Simplify right side
    16,402.86x = 236,128,379.95
  5. Step 5: Solve for x
    x = 236,128,379.95/16,402.86
  6. Step 6: Final answer
    x = 14,395.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.