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Finding the Fourth Proportional to 16,483.65, 22,746.90 and 9,313.86

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Solution

The fourth proportional to 16,483.65, 22,746.90 and 9,313.86 is: 12,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.65 : 22,746.90 = 9,313.86 : x
  2. Step 2: Convert to fraction form
    16,483.65/22,746.90 = 9,313.86/x
  3. Step 3: Cross multiply
    16,483.65x = 22,746.90 × 9,313.86
  4. Step 4: Simplify right side
    16,483.65x = 211,861,442.03
  5. Step 5: Solve for x
    x = 211,861,442.03/16,483.65
  6. Step 6: Final answer
    x = 12,852.82

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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.