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Finding the Fourth Proportional to 14,196.46, 19,590.72 and 7,823.08

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Solution

The fourth proportional to 14,196.46, 19,590.72 and 7,823.08 is: 10,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.46 : 19,590.72 = 7,823.08 : x
  2. Step 2: Convert to fraction form
    14,196.46/19,590.72 = 7,823.08/x
  3. Step 3: Cross multiply
    14,196.46x = 19,590.72 × 7,823.08
  4. Step 4: Simplify right side
    14,196.46x = 153,259,769.82
  5. Step 5: Solve for x
    x = 153,259,769.82/14,196.46
  6. Step 6: Final answer
    x = 10,795.63

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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.