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Finding the Fourth Proportional to 15,725.91, 23,590.35 and 5,196

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Solution

The fourth proportional to 15,725.91, 23,590.35 and 5,196 is: 7,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,725.91 : 23,590.35 = 5,196 : x
  2. Step 2: Convert to fraction form
    15,725.91/23,590.35 = 5,196/x
  3. Step 3: Cross multiply
    15,725.91x = 23,590.35 × 5,196
  4. Step 4: Simplify right side
    15,725.91x = 122,575,458.60
  5. Step 5: Solve for x
    x = 122,575,458.60/15,725.91
  6. Step 6: Final answer
    x = 7,794.49

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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.