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Finding the Fourth Proportional to 16,435.86, 22,633.71 and 14,281.50

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Solution

The fourth proportional to 16,435.86, 22,633.71 and 14,281.50 is: 19,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.86 : 22,633.71 = 14,281.50 : x
  2. Step 2: Convert to fraction form
    16,435.86/22,633.71 = 14,281.50/x
  3. Step 3: Cross multiply
    16,435.86x = 22,633.71 × 14,281.50
  4. Step 4: Simplify right side
    16,435.86x = 323,243,329.37
  5. Step 5: Solve for x
    x = 323,243,329.37/16,435.86
  6. Step 6: Final answer
    x = 19,666.96

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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.