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Finding the Fourth Proportional to 14,196.56, 19,592.14 and 7,823.15

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Solution

The fourth proportional to 14,196.56, 19,592.14 and 7,823.15 is: 10,796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.56 : 19,592.14 = 7,823.15 : x
  2. Step 2: Convert to fraction form
    14,196.56/19,592.14 = 7,823.15/x
  3. Step 3: Cross multiply
    14,196.56x = 19,592.14 × 7,823.15
  4. Step 4: Simplify right side
    14,196.56x = 153,272,152.08
  5. Step 5: Solve for x
    x = 153,272,152.08/14,196.56
  6. Step 6: Final answer
    x = 10,796.43

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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.