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Finding the Fourth Proportional to 14,208.08, 19,607.29 and 7,834.90

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Solution

The fourth proportional to 14,208.08, 19,607.29 and 7,834.90 is: 10,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208.08 : 19,607.29 = 7,834.90 : x
  2. Step 2: Convert to fraction form
    14,208.08/19,607.29 = 7,834.90/x
  3. Step 3: Cross multiply
    14,208.08x = 19,607.29 × 7,834.90
  4. Step 4: Simplify right side
    14,208.08x = 153,621,201.76
  5. Step 5: Solve for x
    x = 153,621,201.76/14,208.08
  6. Step 6: Final answer
    x = 10,812.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.