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Finding the Fourth Proportional to 14,580.01, 20,118.40 and 8,206.93

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Solution

The fourth proportional to 14,580.01, 20,118.40 and 8,206.93 is: 11,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580.01 : 20,118.40 = 8,206.93 : x
  2. Step 2: Convert to fraction form
    14,580.01/20,118.40 = 8,206.93/x
  3. Step 3: Cross multiply
    14,580.01x = 20,118.40 × 8,206.93
  4. Step 4: Simplify right side
    14,580.01x = 165,110,300.51
  5. Step 5: Solve for x
    x = 165,110,300.51/14,580.01
  6. Step 6: Final answer
    x = 11,324.43

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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.