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Finding the Fourth Proportional to 20,409.62, 28,164.51 and 11,457.63

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Solution

The fourth proportional to 20,409.62, 28,164.51 and 11,457.63 is: 15,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.62 : 28,164.51 = 11,457.63 : x
  2. Step 2: Convert to fraction form
    20,409.62/28,164.51 = 11,457.63/x
  3. Step 3: Cross multiply
    20,409.62x = 28,164.51 × 11,457.63
  4. Step 4: Simplify right side
    20,409.62x = 322,698,534.71
  5. Step 5: Solve for x
    x = 322,698,534.71/20,409.62
  6. Step 6: Final answer
    x = 15,811.10

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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.