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Finding the Fourth Proportional to 17,970.86, 26,945.06 and 5,486.74

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Solution

The fourth proportional to 17,970.86, 26,945.06 and 5,486.74 is: 8,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.86 : 26,945.06 = 5,486.74 : x
  2. Step 2: Convert to fraction form
    17,970.86/26,945.06 = 5,486.74/x
  3. Step 3: Cross multiply
    17,970.86x = 26,945.06 × 5,486.74
  4. Step 4: Simplify right side
    17,970.86x = 147,840,443.71
  5. Step 5: Solve for x
    x = 147,840,443.71/17,970.86
  6. Step 6: Final answer
    x = 8,226.67

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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.