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Finding the Fourth Proportional to 13,658.10, 18,848.21 and 7,689.75

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Solution

The fourth proportional to 13,658.10, 18,848.21 and 7,689.75 is: 10,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.10 : 18,848.21 = 7,689.75 : x
  2. Step 2: Convert to fraction form
    13,658.10/18,848.21 = 7,689.75/x
  3. Step 3: Cross multiply
    13,658.10x = 18,848.21 × 7,689.75
  4. Step 4: Simplify right side
    13,658.10x = 144,937,984.40
  5. Step 5: Solve for x
    x = 144,937,984.40/13,658.10
  6. Step 6: Final answer
    x = 10,611.87

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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.