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Finding the Fourth Proportional to 14,582.68, 21,881.16 and 9,034.54

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Solution

The fourth proportional to 14,582.68, 21,881.16 and 9,034.54 is: 13,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.68 : 21,881.16 = 9,034.54 : x
  2. Step 2: Convert to fraction form
    14,582.68/21,881.16 = 9,034.54/x
  3. Step 3: Cross multiply
    14,582.68x = 21,881.16 × 9,034.54
  4. Step 4: Simplify right side
    14,582.68x = 197,686,215.27
  5. Step 5: Solve for x
    x = 197,686,215.27/14,582.68
  6. Step 6: Final answer
    x = 13,556.23

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Why These Related Problems?

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