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Finding the Fourth Proportional to 23,602.34, 35,403.61 and 9,562.64

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Solution

The fourth proportional to 23,602.34, 35,403.61 and 9,562.64 is: 14,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,602.34 : 35,403.61 = 9,562.64 : x
  2. Step 2: Convert to fraction form
    23,602.34/35,403.61 = 9,562.64/x
  3. Step 3: Cross multiply
    23,602.34x = 35,403.61 × 9,562.64
  4. Step 4: Simplify right side
    23,602.34x = 338,551,977.13
  5. Step 5: Solve for x
    x = 338,551,977.13/23,602.34
  6. Step 6: Final answer
    x = 14,344.00

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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.