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Finding the Fourth Proportional to 16,446.81, 24,676.41 and 9,877.58

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Solution

The fourth proportional to 16,446.81, 24,676.41 and 9,877.58 is: 14,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.81 : 24,676.41 = 9,877.58 : x
  2. Step 2: Convert to fraction form
    16,446.81/24,676.41 = 9,877.58/x
  3. Step 3: Cross multiply
    16,446.81x = 24,676.41 × 9,877.58
  4. Step 4: Simplify right side
    16,446.81x = 243,743,090.51
  5. Step 5: Solve for x
    x = 243,743,090.51/16,446.81
  6. Step 6: Final answer
    x = 14,820.08

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1.5x scale

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.