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Finding the Fourth Proportional to 14,830.51, 20,466.04 and 8,024.51

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Solution

The fourth proportional to 14,830.51, 20,466.04 and 8,024.51 is: 11,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.51 : 20,466.04 = 8,024.51 : x
  2. Step 2: Convert to fraction form
    14,830.51/20,466.04 = 8,024.51/x
  3. Step 3: Cross multiply
    14,830.51x = 20,466.04 × 8,024.51
  4. Step 4: Simplify right side
    14,830.51x = 164,229,873.67
  5. Step 5: Solve for x
    x = 164,229,873.67/14,830.51
  6. Step 6: Final answer
    x = 11,073.79

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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.