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Finding the Fourth Proportional to 14,196.26, 19,590.84 and 7,822.64

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Solution

The fourth proportional to 14,196.26, 19,590.84 and 7,822.64 is: 10,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.26 : 19,590.84 = 7,822.64 : x
  2. Step 2: Convert to fraction form
    14,196.26/19,590.84 = 7,822.64/x
  3. Step 3: Cross multiply
    14,196.26x = 19,590.84 × 7,822.64
  4. Step 4: Simplify right side
    14,196.26x = 153,252,088.62
  5. Step 5: Solve for x
    x = 153,252,088.62/14,196.26
  6. Step 6: Final answer
    x = 10,795.24

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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.