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Finding the Fourth Proportional to 17,457.12, 24,091.20 and 10,005.12

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Solution

The fourth proportional to 17,457.12, 24,091.20 and 10,005.12 is: 13,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.12 : 24,091.20 = 10,005.12 : x
  2. Step 2: Convert to fraction form
    17,457.12/24,091.20 = 10,005.12/x
  3. Step 3: Cross multiply
    17,457.12x = 24,091.20 × 10,005.12
  4. Step 4: Simplify right side
    17,457.12x = 241,035,346.94
  5. Step 5: Solve for x
    x = 241,035,346.94/17,457.12
  6. Step 6: Final answer
    x = 13,807.28

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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.