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Finding the Fourth Proportional to 14,017.84, 21,032.97 and 7,442.44

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Solution

The fourth proportional to 14,017.84, 21,032.97 and 7,442.44 is: 11,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.84 : 21,032.97 = 7,442.44 : x
  2. Step 2: Convert to fraction form
    14,017.84/21,032.97 = 7,442.44/x
  3. Step 3: Cross multiply
    14,017.84x = 21,032.97 × 7,442.44
  4. Step 4: Simplify right side
    14,017.84x = 156,536,617.25
  5. Step 5: Solve for x
    x = 156,536,617.25/14,017.84
  6. Step 6: Final answer
    x = 11,166.96

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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.