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Finding the Fourth Proportional to 16,314.41, 24,457.49 and 9,726.76

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Solution

The fourth proportional to 16,314.41, 24,457.49 and 9,726.76 is: 14,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.41 : 24,457.49 = 9,726.76 : x
  2. Step 2: Convert to fraction form
    16,314.41/24,457.49 = 9,726.76/x
  3. Step 3: Cross multiply
    16,314.41x = 24,457.49 × 9,726.76
  4. Step 4: Simplify right side
    16,314.41x = 237,892,139.77
  5. Step 5: Solve for x
    x = 237,892,139.77/16,314.41
  6. Step 6: Final answer
    x = 14,581.72

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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.