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Finding the Fourth Proportional to 16,492.50, 22,761.09 and 9,041.94

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Solution

The fourth proportional to 16,492.50, 22,761.09 and 9,041.94 is: 12,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.50 : 22,761.09 = 9,041.94 : x
  2. Step 2: Convert to fraction form
    16,492.50/22,761.09 = 9,041.94/x
  3. Step 3: Cross multiply
    16,492.50x = 22,761.09 × 9,041.94
  4. Step 4: Simplify right side
    16,492.50x = 205,804,410.11
  5. Step 5: Solve for x
    x = 205,804,410.11/16,492.50
  6. Step 6: Final answer
    x = 12,478.67

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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.