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Finding the Fourth Proportional to 12,911.44, 19,368.24 and 4,588.24

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Solution

The fourth proportional to 12,911.44, 19,368.24 and 4,588.24 is: 6,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.44 : 19,368.24 = 4,588.24 : x
  2. Step 2: Convert to fraction form
    12,911.44/19,368.24 = 4,588.24/x
  3. Step 3: Cross multiply
    12,911.44x = 19,368.24 × 4,588.24
  4. Step 4: Simplify right side
    12,911.44x = 88,866,133.50
  5. Step 5: Solve for x
    x = 88,866,133.50/12,911.44
  6. Step 6: Final answer
    x = 6,882.74

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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.