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Finding the Fourth Proportional to 16,486.36, 22,751.74 and 9,412.62

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Solution

The fourth proportional to 16,486.36, 22,751.74 and 9,412.62 is: 12,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.36 : 22,751.74 = 9,412.62 : x
  2. Step 2: Convert to fraction form
    16,486.36/22,751.74 = 9,412.62/x
  3. Step 3: Cross multiply
    16,486.36x = 22,751.74 × 9,412.62
  4. Step 4: Simplify right side
    16,486.36x = 214,153,482.96
  5. Step 5: Solve for x
    x = 214,153,482.96/16,486.36
  6. Step 6: Final answer
    x = 12,989.74

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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.