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Finding the Fourth Proportional to 14,497.59, 21,746.48 and 3,967.39

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Solution

The fourth proportional to 14,497.59, 21,746.48 and 3,967.39 is: 5,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.59 : 21,746.48 = 3,967.39 : x
  2. Step 2: Convert to fraction form
    14,497.59/21,746.48 = 3,967.39/x
  3. Step 3: Cross multiply
    14,497.59x = 21,746.48 × 3,967.39
  4. Step 4: Simplify right side
    14,497.59x = 86,276,767.29
  5. Step 5: Solve for x
    x = 86,276,767.29/14,497.59
  6. Step 6: Final answer
    x = 5,951.11

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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.