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Finding the Fourth Proportional to 13,689.23, 20,557.53 and 13,065.93

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Solution

The fourth proportional to 13,689.23, 20,557.53 and 13,065.93 is: 19,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.23 : 20,557.53 = 13,065.93 : x
  2. Step 2: Convert to fraction form
    13,689.23/20,557.53 = 13,065.93/x
  3. Step 3: Cross multiply
    13,689.23x = 20,557.53 × 13,065.93
  4. Step 4: Simplify right side
    13,689.23x = 268,603,247.95
  5. Step 5: Solve for x
    x = 268,603,247.95/13,689.23
  6. Step 6: Final answer
    x = 19,621.51

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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.