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Finding the Fourth Proportional to 14,031.36, 19,363.38 and 7,658.00

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Solution

The fourth proportional to 14,031.36, 19,363.38 and 7,658.00 is: 10,568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.36 : 19,363.38 = 7,658.00 : x
  2. Step 2: Convert to fraction form
    14,031.36/19,363.38 = 7,658.00/x
  3. Step 3: Cross multiply
    14,031.36x = 19,363.38 × 7,658.00
  4. Step 4: Simplify right side
    14,031.36x = 148,284,667.22
  5. Step 5: Solve for x
    x = 148,284,667.22/14,031.36
  6. Step 6: Final answer
    x = 10,568.09

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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.