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Finding the Fourth Proportional to 16,483.65, 22,746.89 and 9,313.83

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Solution

The fourth proportional to 16,483.65, 22,746.89 and 9,313.83 is: 12,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.65 : 22,746.89 = 9,313.83 : x
  2. Step 2: Convert to fraction form
    16,483.65/22,746.89 = 9,313.83/x
  3. Step 3: Cross multiply
    16,483.65x = 22,746.89 × 9,313.83
  4. Step 4: Simplify right side
    16,483.65x = 211,860,619.92
  5. Step 5: Solve for x
    x = 211,860,619.92/16,483.65
  6. Step 6: Final answer
    x = 12,852.77

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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.