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Finding the Fourth Proportional to 12,725.64, 19,097.71 and 9,609.50

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Solution

The fourth proportional to 12,725.64, 19,097.71 and 9,609.50 is: 14,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.64 : 19,097.71 = 9,609.50 : x
  2. Step 2: Convert to fraction form
    12,725.64/19,097.71 = 9,609.50/x
  3. Step 3: Cross multiply
    12,725.64x = 19,097.71 × 9,609.50
  4. Step 4: Simplify right side
    12,725.64x = 183,519,467.97
  5. Step 5: Solve for x
    x = 183,519,467.97/12,725.64
  6. Step 6: Final answer
    x = 14,421.24

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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.