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Finding the Fourth Proportional to 23,743.65, 35,602.32 and 9,713.53

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Solution

The fourth proportional to 23,743.65, 35,602.32 and 9,713.53 is: 14,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,743.65 : 35,602.32 = 9,713.53 : x
  2. Step 2: Convert to fraction form
    23,743.65/35,602.32 = 9,713.53/x
  3. Step 3: Cross multiply
    23,743.65x = 35,602.32 × 9,713.53
  4. Step 4: Simplify right side
    23,743.65x = 345,824,284.32
  5. Step 5: Solve for x
    x = 345,824,284.32/23,743.65
  6. Step 6: Final answer
    x = 14,564.91

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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.