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Finding the Fourth Proportional to 16,047.54, 24,071.31 and 4,362.48

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Solution

The fourth proportional to 16,047.54, 24,071.31 and 4,362.48 is: 6,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047.54 : 24,071.31 = 4,362.48 : x
  2. Step 2: Convert to fraction form
    16,047.54/24,071.31 = 4,362.48/x
  3. Step 3: Cross multiply
    16,047.54x = 24,071.31 × 4,362.48
  4. Step 4: Simplify right side
    16,047.54x = 105,010,608.45
  5. Step 5: Solve for x
    x = 105,010,608.45/16,047.54
  6. Step 6: Final answer
    x = 6,543.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.