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Finding the Fourth Proportional to 24,137.40, 36,206.10 and 21,065.40

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Solution

The fourth proportional to 24,137.40, 36,206.10 and 21,065.40 is: 31,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,137.40 : 36,206.10 = 21,065.40 : x
  2. Step 2: Convert to fraction form
    24,137.40/36,206.10 = 21,065.40/x
  3. Step 3: Cross multiply
    24,137.40x = 36,206.10 × 21,065.40
  4. Step 4: Simplify right side
    24,137.40x = 762,695,978.94
  5. Step 5: Solve for x
    x = 762,695,978.94/24,137.40
  6. Step 6: Final answer
    x = 31,598.10

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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.