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Finding the Fourth Proportional to 14,674.12, 20,256.60 and 9,009.79

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Solution

The fourth proportional to 14,674.12, 20,256.60 and 9,009.79 is: 12,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,674.12 : 20,256.60 = 9,009.79 : x
  2. Step 2: Convert to fraction form
    14,674.12/20,256.60 = 9,009.79/x
  3. Step 3: Cross multiply
    14,674.12x = 20,256.60 × 9,009.79
  4. Step 4: Simplify right side
    14,674.12x = 182,507,712.11
  5. Step 5: Solve for x
    x = 182,507,712.11/14,674.12
  6. Step 6: Final answer
    x = 12,437.39

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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.