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Finding the Fourth Proportional to 19,638.12, 29,442.81 and 6,303.51

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Solution

The fourth proportional to 19,638.12, 29,442.81 and 6,303.51 is: 9,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.12 : 29,442.81 = 6,303.51 : x
  2. Step 2: Convert to fraction form
    19,638.12/29,442.81 = 6,303.51/x
  3. Step 3: Cross multiply
    19,638.12x = 29,442.81 × 6,303.51
  4. Step 4: Simplify right side
    19,638.12x = 185,593,047.26
  5. Step 5: Solve for x
    x = 185,593,047.26/19,638.12
  6. Step 6: Final answer
    x = 9,450.65

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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.