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Finding the Fourth Proportional to 14,420.66, 19,899.74 and 8,132.63

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Solution

The fourth proportional to 14,420.66, 19,899.74 and 8,132.63 is: 11,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.66 : 19,899.74 = 8,132.63 : x
  2. Step 2: Convert to fraction form
    14,420.66/19,899.74 = 8,132.63/x
  3. Step 3: Cross multiply
    14,420.66x = 19,899.74 × 8,132.63
  4. Step 4: Simplify right side
    14,420.66x = 161,837,082.35
  5. Step 5: Solve for x
    x = 161,837,082.35/14,420.66
  6. Step 6: Final answer
    x = 11,222.59

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1.5x scale

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.