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Finding the Fourth Proportional to 14,196.36, 19,590.71 and 7,823.51

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Solution

The fourth proportional to 14,196.36, 19,590.71 and 7,823.51 is: 10,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.36 : 19,590.71 = 7,823.51 : x
  2. Step 2: Convert to fraction form
    14,196.36/19,590.71 = 7,823.51/x
  3. Step 3: Cross multiply
    14,196.36x = 19,590.71 × 7,823.51
  4. Step 4: Simplify right side
    14,196.36x = 153,268,213.08
  5. Step 5: Solve for x
    x = 153,268,213.08/14,196.36
  6. Step 6: Final answer
    x = 10,796.31

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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.