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Finding the Fourth Proportional to 13,643.19, 20,442.93 and 12,330.99

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Solution

The fourth proportional to 13,643.19, 20,442.93 and 12,330.99 is: 18,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.19 : 20,442.93 = 12,330.99 : x
  2. Step 2: Convert to fraction form
    13,643.19/20,442.93 = 12,330.99/x
  3. Step 3: Cross multiply
    13,643.19x = 20,442.93 × 12,330.99
  4. Step 4: Simplify right side
    13,643.19x = 252,081,565.40
  5. Step 5: Solve for x
    x = 252,081,565.40/13,643.19
  6. Step 6: Final answer
    x = 18,476.73

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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.