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Finding the Fourth Proportional to 14,181.30, 21,271.95 and 7,182.90

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Solution

The fourth proportional to 14,181.30, 21,271.95 and 7,182.90 is: 10,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.30 : 21,271.95 = 7,182.90 : x
  2. Step 2: Convert to fraction form
    14,181.30/21,271.95 = 7,182.90/x
  3. Step 3: Cross multiply
    14,181.30x = 21,271.95 × 7,182.90
  4. Step 4: Simplify right side
    14,181.30x = 152,794,289.66
  5. Step 5: Solve for x
    x = 152,794,289.66/14,181.30
  6. Step 6: Final answer
    x = 10,774.35

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