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Finding the Fourth Proportional to 17,477.46, 26,206.05 and 11,937.50

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Solution

The fourth proportional to 17,477.46, 26,206.05 and 11,937.50 is: 17,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,477.46 : 26,206.05 = 11,937.50 : x
  2. Step 2: Convert to fraction form
    17,477.46/26,206.05 = 11,937.50/x
  3. Step 3: Cross multiply
    17,477.46x = 26,206.05 × 11,937.50
  4. Step 4: Simplify right side
    17,477.46x = 312,834,590.84
  5. Step 5: Solve for x
    x = 312,834,590.84/17,477.46
  6. Step 6: Final answer
    x = 17,899.32

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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.