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Finding the Fourth Proportional to 18,038.14, 24,899.59 and 16,146.39

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Solution

The fourth proportional to 18,038.14, 24,899.59 and 16,146.39 is: 22,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,038.14 : 24,899.59 = 16,146.39 : x
  2. Step 2: Convert to fraction form
    18,038.14/24,899.59 = 16,146.39/x
  3. Step 3: Cross multiply
    18,038.14x = 24,899.59 × 16,146.39
  4. Step 4: Simplify right side
    18,038.14x = 402,038,406.85
  5. Step 5: Solve for x
    x = 402,038,406.85/18,038.14
  6. Step 6: Final answer
    x = 22,288.24

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Why These Related Problems?

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