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Finding the Fourth Proportional to 16,482.92, 22,746.45 and 9,771.83

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Solution

The fourth proportional to 16,482.92, 22,746.45 and 9,771.83 is: 13,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482.92 : 22,746.45 = 9,771.83 : x
  2. Step 2: Convert to fraction form
    16,482.92/22,746.45 = 9,771.83/x
  3. Step 3: Cross multiply
    16,482.92x = 22,746.45 × 9,771.83
  4. Step 4: Simplify right side
    16,482.92x = 222,274,442.50
  5. Step 5: Solve for x
    x = 222,274,442.50/16,482.92
  6. Step 6: Final answer
    x = 13,485.14

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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.