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Finding the Fourth Proportional to 13,214.08, 19,820 and 4,893.76

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Solution

The fourth proportional to 13,214.08, 19,820 and 4,893.76 is: 7,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.08 : 19,820 = 4,893.76 : x
  2. Step 2: Convert to fraction form
    13,214.08/19,820 = 4,893.76/x
  3. Step 3: Cross multiply
    13,214.08x = 19,820 × 4,893.76
  4. Step 4: Simplify right side
    13,214.08x = 96,994,323.20
  5. Step 5: Solve for x
    x = 96,994,323.20/13,214.08
  6. Step 6: Final answer
    x = 7,340.23

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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.