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Finding the Fourth Proportional to 19,200.14, 26,496.31 and 10,702.80

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Solution

The fourth proportional to 19,200.14, 26,496.31 and 10,702.80 is: 14,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200.14 : 26,496.31 = 10,702.80 : x
  2. Step 2: Convert to fraction form
    19,200.14/26,496.31 = 10,702.80/x
  3. Step 3: Cross multiply
    19,200.14x = 26,496.31 × 10,702.80
  4. Step 4: Simplify right side
    19,200.14x = 283,584,779.92
  5. Step 5: Solve for x
    x = 283,584,779.92/19,200.14
  6. Step 6: Final answer
    x = 14,769.93

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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.