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Finding the Fourth Proportional to 24,597.40, 36,896.10 and 6,129.40

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Solution

The fourth proportional to 24,597.40, 36,896.10 and 6,129.40 is: 9,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597.40 : 36,896.10 = 6,129.40 : x
  2. Step 2: Convert to fraction form
    24,597.40/36,896.10 = 6,129.40/x
  3. Step 3: Cross multiply
    24,597.40x = 36,896.10 × 6,129.40
  4. Step 4: Simplify right side
    24,597.40x = 226,150,955.34
  5. Step 5: Solve for x
    x = 226,150,955.34/24,597.40
  6. Step 6: Final answer
    x = 9,194.10

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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.