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Finding the Fourth Proportional to 10,253.98, 14,207.54 and 10,032.46

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Solution

The fourth proportional to 10,253.98, 14,207.54 and 10,032.46 is: 13,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.98 : 14,207.54 = 10,032.46 : x
  2. Step 2: Convert to fraction form
    10,253.98/14,207.54 = 10,032.46/x
  3. Step 3: Cross multiply
    10,253.98x = 14,207.54 × 10,032.46
  4. Step 4: Simplify right side
    10,253.98x = 142,536,576.75
  5. Step 5: Solve for x
    x = 142,536,576.75/10,253.98
  6. Step 6: Final answer
    x = 13,900.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.