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Finding the Fourth Proportional to 14,196.41, 19,590.78 and 7,823.59

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Solution

The fourth proportional to 14,196.41, 19,590.78 and 7,823.59 is: 10,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.41 : 19,590.78 = 7,823.59 : x
  2. Step 2: Convert to fraction form
    14,196.41/19,590.78 = 7,823.59/x
  3. Step 3: Cross multiply
    14,196.41x = 19,590.78 × 7,823.59
  4. Step 4: Simplify right side
    14,196.41x = 153,270,132.55
  5. Step 5: Solve for x
    x = 153,270,132.55/14,196.41
  6. Step 6: Final answer
    x = 10,796.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.