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Finding the Fourth Proportional to 10,257.40, 14,062.88 and 10,070.56

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Solution

The fourth proportional to 10,257.40, 14,062.88 and 10,070.56 is: 13,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.40 : 14,062.88 = 10,070.56 : x
  2. Step 2: Convert to fraction form
    10,257.40/14,062.88 = 10,070.56/x
  3. Step 3: Cross multiply
    10,257.40x = 14,062.88 × 10,070.56
  4. Step 4: Simplify right side
    10,257.40x = 141,621,076.81
  5. Step 5: Solve for x
    x = 141,621,076.81/10,257.40
  6. Step 6: Final answer
    x = 13,806.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.