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Finding the Fourth Proportional to 22,336.95, 33,492.66 and 9,178.50

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Solution

The fourth proportional to 22,336.95, 33,492.66 and 9,178.50 is: 13,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,336.95 : 33,492.66 = 9,178.50 : x
  2. Step 2: Convert to fraction form
    22,336.95/33,492.66 = 9,178.50/x
  3. Step 3: Cross multiply
    22,336.95x = 33,492.66 × 9,178.50
  4. Step 4: Simplify right side
    22,336.95x = 307,412,379.81
  5. Step 5: Solve for x
    x = 307,412,379.81/22,336.95
  6. Step 6: Final answer
    x = 13,762.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.