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Finding the Fourth Proportional to 16,437.86, 22,636.47 and 14,283.50

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Solution

The fourth proportional to 16,437.86, 22,636.47 and 14,283.50 is: 19,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437.86 : 22,636.47 = 14,283.50 : x
  2. Step 2: Convert to fraction form
    16,437.86/22,636.47 = 14,283.50/x
  3. Step 3: Cross multiply
    16,437.86x = 22,636.47 × 14,283.50
  4. Step 4: Simplify right side
    16,437.86x = 323,328,019.25
  5. Step 5: Solve for x
    x = 323,328,019.25/16,437.86
  6. Step 6: Final answer
    x = 19,669.71

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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.