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Finding the Fourth Proportional to 14,111.33, 19,473.66 and 7,823.70

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Solution

The fourth proportional to 14,111.33, 19,473.66 and 7,823.70 is: 10,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.33 : 19,473.66 = 7,823.70 : x
  2. Step 2: Convert to fraction form
    14,111.33/19,473.66 = 7,823.70/x
  3. Step 3: Cross multiply
    14,111.33x = 19,473.66 × 7,823.70
  4. Step 4: Simplify right side
    14,111.33x = 152,356,073.74
  5. Step 5: Solve for x
    x = 152,356,073.74/14,111.33
  6. Step 6: Final answer
    x = 10,796.72

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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.