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Finding the Fourth Proportional to 24,602.06, 36,903.30 and 7,071.90

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Solution

The fourth proportional to 24,602.06, 36,903.30 and 7,071.90 is: 10,607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,602.06 : 36,903.30 = 7,071.90 : x
  2. Step 2: Convert to fraction form
    24,602.06/36,903.30 = 7,071.90/x
  3. Step 3: Cross multiply
    24,602.06x = 36,903.30 × 7,071.90
  4. Step 4: Simplify right side
    24,602.06x = 260,976,447.27
  5. Step 5: Solve for x
    x = 260,976,447.27/24,602.06
  6. Step 6: Final answer
    x = 10,607.91

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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.