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Finding the Fourth Proportional to 23,557.34, 35,328.45 and 10,409.42

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Solution

The fourth proportional to 23,557.34, 35,328.45 and 10,409.42 is: 15,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557.34 : 35,328.45 = 10,409.42 : x
  2. Step 2: Convert to fraction form
    23,557.34/35,328.45 = 10,409.42/x
  3. Step 3: Cross multiply
    23,557.34x = 35,328.45 × 10,409.42
  4. Step 4: Simplify right side
    23,557.34x = 367,748,674.00
  5. Step 5: Solve for x
    x = 367,748,674.00/23,557.34
  6. Step 6: Final answer
    x = 15,610.79

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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.