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Finding the Fourth Proportional to 14,576.58, 21,866.10 and 4,717.47

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Solution

The fourth proportional to 14,576.58, 21,866.10 and 4,717.47 is: 7,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.58 : 21,866.10 = 4,717.47 : x
  2. Step 2: Convert to fraction form
    14,576.58/21,866.10 = 4,717.47/x
  3. Step 3: Cross multiply
    14,576.58x = 21,866.10 × 4,717.47
  4. Step 4: Simplify right side
    14,576.58x = 103,152,670.77
  5. Step 5: Solve for x
    x = 103,152,670.77/14,576.58
  6. Step 6: Final answer
    x = 7,076.60

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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.