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Finding the Fourth Proportional to 19,846.24, 29,774.40 and 14,014.24

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Solution

The fourth proportional to 19,846.24, 29,774.40 and 14,014.24 is: 21,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.24 : 29,774.40 = 14,014.24 : x
  2. Step 2: Convert to fraction form
    19,846.24/29,774.40 = 14,014.24/x
  3. Step 3: Cross multiply
    19,846.24x = 29,774.40 × 14,014.24
  4. Step 4: Simplify right side
    19,846.24x = 417,265,587.46
  5. Step 5: Solve for x
    x = 417,265,587.46/19,846.24
  6. Step 6: Final answer
    x = 21,024.92

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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.