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Finding the Fourth Proportional to 14,485.76, 21,693.60 and 10,031

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Solution

The fourth proportional to 14,485.76, 21,693.60 and 10,031 is: 15,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,485.76 : 21,693.60 = 10,031 : x
  2. Step 2: Convert to fraction form
    14,485.76/21,693.60 = 10,031/x
  3. Step 3: Cross multiply
    14,485.76x = 21,693.60 × 10,031
  4. Step 4: Simplify right side
    14,485.76x = 217,608,501.60
  5. Step 5: Solve for x
    x = 217,608,501.60/14,485.76
  6. Step 6: Final answer
    x = 15,022.24

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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.