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Finding the Fourth Proportional to 14,111.25, 19,473.66 and 7,823.76

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Solution

The fourth proportional to 14,111.25, 19,473.66 and 7,823.76 is: 10,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.25 : 19,473.66 = 7,823.76 : x
  2. Step 2: Convert to fraction form
    14,111.25/19,473.66 = 7,823.76/x
  3. Step 3: Cross multiply
    14,111.25x = 19,473.66 × 7,823.76
  4. Step 4: Simplify right side
    14,111.25x = 152,357,242.16
  5. Step 5: Solve for x
    x = 152,357,242.16/14,111.25
  6. Step 6: Final answer
    x = 10,796.86

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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.