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Finding the Fourth Proportional to 16,429.05, 24,644.01 and 4,742.25

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Solution

The fourth proportional to 16,429.05, 24,644.01 and 4,742.25 is: 7,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429.05 : 24,644.01 = 4,742.25 : x
  2. Step 2: Convert to fraction form
    16,429.05/24,644.01 = 4,742.25/x
  3. Step 3: Cross multiply
    16,429.05x = 24,644.01 × 4,742.25
  4. Step 4: Simplify right side
    16,429.05x = 116,868,056.42
  5. Step 5: Solve for x
    x = 116,868,056.42/16,429.05
  6. Step 6: Final answer
    x = 7,113.50

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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.