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Finding the Fourth Proportional to 14,303.72, 19,738.32 and 8,016.50

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Solution

The fourth proportional to 14,303.72, 19,738.32 and 8,016.50 is: 11,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,303.72 : 19,738.32 = 8,016.50 : x
  2. Step 2: Convert to fraction form
    14,303.72/19,738.32 = 8,016.50/x
  3. Step 3: Cross multiply
    14,303.72x = 19,738.32 × 8,016.50
  4. Step 4: Simplify right side
    14,303.72x = 158,232,242.28
  5. Step 5: Solve for x
    x = 158,232,242.28/14,303.72
  6. Step 6: Final answer
    x = 11,062.31

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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.