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Finding the Fourth Proportional to 10,546.94, 14,574.06 and 10,034.55

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Solution

The fourth proportional to 10,546.94, 14,574.06 and 10,034.55 is: 13,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.94 : 14,574.06 = 10,034.55 : x
  2. Step 2: Convert to fraction form
    10,546.94/14,574.06 = 10,034.55/x
  3. Step 3: Cross multiply
    10,546.94x = 14,574.06 × 10,034.55
  4. Step 4: Simplify right side
    10,546.94x = 146,244,133.77
  5. Step 5: Solve for x
    x = 146,244,133.77/10,546.94
  6. Step 6: Final answer
    x = 13,866.02

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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.