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Finding the Fourth Proportional to 14,436, 21,654.63 and 4,576.01

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Solution

The fourth proportional to 14,436, 21,654.63 and 4,576.01 is: 6,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436 : 21,654.63 = 4,576.01 : x
  2. Step 2: Convert to fraction form
    14,436/21,654.63 = 4,576.01/x
  3. Step 3: Cross multiply
    14,436x = 21,654.63 × 4,576.01
  4. Step 4: Simplify right side
    14,436x = 99,091,695.15
  5. Step 5: Solve for x
    x = 99,091,695.15/14,436
  6. Step 6: Final answer
    x = 6,864.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.