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Finding the Fourth Proportional to 16,488, 22,736.34 and 11,457.90

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Solution

The fourth proportional to 16,488, 22,736.34 and 11,457.90 is: 15,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488 : 22,736.34 = 11,457.90 : x
  2. Step 2: Convert to fraction form
    16,488/22,736.34 = 11,457.90/x
  3. Step 3: Cross multiply
    16,488x = 22,736.34 × 11,457.90
  4. Step 4: Simplify right side
    16,488x = 260,510,710.09
  5. Step 5: Solve for x
    x = 260,510,710.09/16,488
  6. Step 6: Final answer
    x = 15,800.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.