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Finding the Fourth Proportional to 24,538.72, 36,788.58 and 10,678

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Solution

The fourth proportional to 24,538.72, 36,788.58 and 10,678 is: 16,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.72 : 36,788.58 = 10,678 : x
  2. Step 2: Convert to fraction form
    24,538.72/36,788.58 = 10,678/x
  3. Step 3: Cross multiply
    24,538.72x = 36,788.58 × 10,678
  4. Step 4: Simplify right side
    24,538.72x = 392,828,457.24
  5. Step 5: Solve for x
    x = 392,828,457.24/24,538.72
  6. Step 6: Final answer
    x = 16,008.51

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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.