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Finding the Fourth Proportional to 10,321.92, 14,254.08 and 10,300.80

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Solution

The fourth proportional to 10,321.92, 14,254.08 and 10,300.80 is: 14,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.92 : 14,254.08 = 10,300.80 : x
  2. Step 2: Convert to fraction form
    10,321.92/14,254.08 = 10,300.80/x
  3. Step 3: Cross multiply
    10,321.92x = 14,254.08 × 10,300.80
  4. Step 4: Simplify right side
    10,321.92x = 146,828,427.26
  5. Step 5: Solve for x
    x = 146,828,427.26/10,321.92
  6. Step 6: Final answer
    x = 14,224.91

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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.