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Finding the Fourth Proportional to 14,170.86, 21,256.62 and 6,271.68

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Solution

The fourth proportional to 14,170.86, 21,256.62 and 6,271.68 is: 9,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,170.86 : 21,256.62 = 6,271.68 : x
  2. Step 2: Convert to fraction form
    14,170.86/21,256.62 = 6,271.68/x
  3. Step 3: Cross multiply
    14,170.86x = 21,256.62 × 6,271.68
  4. Step 4: Simplify right side
    14,170.86x = 133,314,718.52
  5. Step 5: Solve for x
    x = 133,314,718.52/14,170.86
  6. Step 6: Final answer
    x = 9,407.67

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