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Finding the Fourth Proportional to 14,876.51, 20,530.16 and 8,162.42

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Solution

The fourth proportional to 14,876.51, 20,530.16 and 8,162.42 is: 11,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.51 : 20,530.16 = 8,162.42 : x
  2. Step 2: Convert to fraction form
    14,876.51/20,530.16 = 8,162.42/x
  3. Step 3: Cross multiply
    14,876.51x = 20,530.16 × 8,162.42
  4. Step 4: Simplify right side
    14,876.51x = 167,575,791.22
  5. Step 5: Solve for x
    x = 167,575,791.22/14,876.51
  6. Step 6: Final answer
    x = 11,264.46

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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.