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Finding the Fourth Proportional to 17,636.50, 24,339.09 and 10,184.50

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Solution

The fourth proportional to 17,636.50, 24,339.09 and 10,184.50 is: 14,055.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,636.50 : 24,339.09 = 10,184.50 : x
  2. Step 2: Convert to fraction form
    17,636.50/24,339.09 = 10,184.50/x
  3. Step 3: Cross multiply
    17,636.50x = 24,339.09 × 10,184.50
  4. Step 4: Simplify right side
    17,636.50x = 247,881,462.11
  5. Step 5: Solve for x
    x = 247,881,462.11/17,636.50
  6. Step 6: Final answer
    x = 14,055.03

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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.