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Finding the Fourth Proportional to 14,308.41, 19,746.38 and 8,339.72

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Solution

The fourth proportional to 14,308.41, 19,746.38 and 8,339.72 is: 11,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.41 : 19,746.38 = 8,339.72 : x
  2. Step 2: Convert to fraction form
    14,308.41/19,746.38 = 8,339.72/x
  3. Step 3: Cross multiply
    14,308.41x = 19,746.38 × 8,339.72
  4. Step 4: Simplify right side
    14,308.41x = 164,679,350.43
  5. Step 5: Solve for x
    x = 164,679,350.43/14,308.41
  6. Step 6: Final answer
    x = 11,509.27

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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.