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Finding the Fourth Proportional to 23,702.14, 35,528.23 and 9,656.74

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Solution

The fourth proportional to 23,702.14, 35,528.23 and 9,656.74 is: 14,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702.14 : 35,528.23 = 9,656.74 : x
  2. Step 2: Convert to fraction form
    23,702.14/35,528.23 = 9,656.74/x
  3. Step 3: Cross multiply
    23,702.14x = 35,528.23 × 9,656.74
  4. Step 4: Simplify right side
    23,702.14x = 343,086,879.77
  5. Step 5: Solve for x
    x = 343,086,879.77/23,702.14
  6. Step 6: Final answer
    x = 14,474.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.