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Finding the Fourth Proportional to 16,495, 22,764.18 and 9,043

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Solution

The fourth proportional to 16,495, 22,764.18 and 9,043 is: 12,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495 : 22,764.18 = 9,043 : x
  2. Step 2: Convert to fraction form
    16,495/22,764.18 = 9,043/x
  3. Step 3: Cross multiply
    16,495x = 22,764.18 × 9,043
  4. Step 4: Simplify right side
    16,495x = 205,856,479.74
  5. Step 5: Solve for x
    x = 205,856,479.74/16,495
  6. Step 6: Final answer
    x = 12,479.93

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Why These Related Problems?

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