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Finding the Fourth Proportional to 23,677.56, 35,509.24 and 19,507.22

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Solution

The fourth proportional to 23,677.56, 35,509.24 and 19,507.22 is: 29,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.56 : 35,509.24 = 19,507.22 : x
  2. Step 2: Convert to fraction form
    23,677.56/35,509.24 = 19,507.22/x
  3. Step 3: Cross multiply
    23,677.56x = 35,509.24 × 19,507.22
  4. Step 4: Simplify right side
    23,677.56x = 692,686,556.71
  5. Step 5: Solve for x
    x = 692,686,556.71/23,677.56
  6. Step 6: Final answer
    x = 29,254.98

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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.