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Finding the Fourth Proportional to 14,573.58, 20,113.38 and 8,284.74

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Solution

The fourth proportional to 14,573.58, 20,113.38 and 8,284.74 is: 11,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.58 : 20,113.38 = 8,284.74 : x
  2. Step 2: Convert to fraction form
    14,573.58/20,113.38 = 8,284.74/x
  3. Step 3: Cross multiply
    14,573.58x = 20,113.38 × 8,284.74
  4. Step 4: Simplify right side
    14,573.58x = 166,634,123.82
  5. Step 5: Solve for x
    x = 166,634,123.82/14,573.58
  6. Step 6: Final answer
    x = 11,433.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.