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Finding the Fourth Proportional to 12,148.28, 16,754.72 and 10,200.46

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Solution

The fourth proportional to 12,148.28, 16,754.72 and 10,200.46 is: 14,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.28 : 16,754.72 = 10,200.46 : x
  2. Step 2: Convert to fraction form
    12,148.28/16,754.72 = 10,200.46/x
  3. Step 3: Cross multiply
    12,148.28x = 16,754.72 × 10,200.46
  4. Step 4: Simplify right side
    12,148.28x = 170,905,842.06
  5. Step 5: Solve for x
    x = 170,905,842.06/12,148.28
  6. Step 6: Final answer
    x = 14,068.32

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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.