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Finding the Fourth Proportional to 23,602.34, 35,403.19 and 9,562.25

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Solution

The fourth proportional to 23,602.34, 35,403.19 and 9,562.25 is: 14,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,602.34 : 35,403.19 = 9,562.25 : x
  2. Step 2: Convert to fraction form
    23,602.34/35,403.19 = 9,562.25/x
  3. Step 3: Cross multiply
    23,602.34x = 35,403.19 × 9,562.25
  4. Step 4: Simplify right side
    23,602.34x = 338,534,218.18
  5. Step 5: Solve for x
    x = 338,534,218.18/23,602.34
  6. Step 6: Final answer
    x = 14,343.25

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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.