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Finding the Fourth Proportional to 19,622.08, 29,415.84 and 7,784.17

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Solution

The fourth proportional to 19,622.08, 29,415.84 and 7,784.17 is: 11,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,622.08 : 29,415.84 = 7,784.17 : x
  2. Step 2: Convert to fraction form
    19,622.08/29,415.84 = 7,784.17/x
  3. Step 3: Cross multiply
    19,622.08x = 29,415.84 × 7,784.17
  4. Step 4: Simplify right side
    19,622.08x = 228,977,910.57
  5. Step 5: Solve for x
    x = 228,977,910.57/19,622.08
  6. Step 6: Final answer
    x = 11,669.40

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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.