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Finding the Fourth Proportional to 14,447.56, 19,937.56 and 7,823.56

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Solution

The fourth proportional to 14,447.56, 19,937.56 and 7,823.56 is: 10,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.56 : 19,937.56 = 7,823.56 : x
  2. Step 2: Convert to fraction form
    14,447.56/19,937.56 = 7,823.56/x
  3. Step 3: Cross multiply
    14,447.56x = 19,937.56 × 7,823.56
  4. Step 4: Simplify right side
    14,447.56x = 155,982,696.91
  5. Step 5: Solve for x
    x = 155,982,696.91/14,447.56
  6. Step 6: Final answer
    x = 10,796.47

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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.