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Finding the Fourth Proportional to 14,417.70, 21,611.81 and 9,156.54

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Solution

The fourth proportional to 14,417.70, 21,611.81 and 9,156.54 is: 13,725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.70 : 21,611.81 = 9,156.54 : x
  2. Step 2: Convert to fraction form
    14,417.70/21,611.81 = 9,156.54/x
  3. Step 3: Cross multiply
    14,417.70x = 21,611.81 × 9,156.54
  4. Step 4: Simplify right side
    14,417.70x = 197,889,506.67
  5. Step 5: Solve for x
    x = 197,889,506.67/14,417.70
  6. Step 6: Final answer
    x = 13,725.46

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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.