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Finding the Fourth Proportional to 17,420.56, 24,024 and 13,435.36

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Solution

The fourth proportional to 17,420.56, 24,024 and 13,435.36 is: 18,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,420.56 : 24,024 = 13,435.36 : x
  2. Step 2: Convert to fraction form
    17,420.56/24,024 = 13,435.36/x
  3. Step 3: Cross multiply
    17,420.56x = 24,024 × 13,435.36
  4. Step 4: Simplify right side
    17,420.56x = 322,771,088.64
  5. Step 5: Solve for x
    x = 322,771,088.64/17,420.56
  6. Step 6: Final answer
    x = 18,528.17

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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.