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Finding the Fourth Proportional to 14,308.65, 19,746.45 and 8,339.36

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Solution

The fourth proportional to 14,308.65, 19,746.45 and 8,339.36 is: 11,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.65 : 19,746.45 = 8,339.36 : x
  2. Step 2: Convert to fraction form
    14,308.65/19,746.45 = 8,339.36/x
  3. Step 3: Cross multiply
    14,308.65x = 19,746.45 × 8,339.36
  4. Step 4: Simplify right side
    14,308.65x = 164,672,656.54
  5. Step 5: Solve for x
    x = 164,672,656.54/14,308.65
  6. Step 6: Final answer
    x = 11,508.61

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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.