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Finding the Fourth Proportional to 14,016.83, 19,342.53 and 8,048.21

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Solution

The fourth proportional to 14,016.83, 19,342.53 and 8,048.21 is: 11,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.83 : 19,342.53 = 8,048.21 : x
  2. Step 2: Convert to fraction form
    14,016.83/19,342.53 = 8,048.21/x
  3. Step 3: Cross multiply
    14,016.83x = 19,342.53 × 8,048.21
  4. Step 4: Simplify right side
    14,016.83x = 155,672,646.66
  5. Step 5: Solve for x
    x = 155,672,646.66/14,016.83
  6. Step 6: Final answer
    x = 11,106.13

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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.