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Finding the Fourth Proportional to 17,431.16, 24,055.29 and 9,877.29

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Solution

The fourth proportional to 17,431.16, 24,055.29 and 9,877.29 is: 13,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.16 : 24,055.29 = 9,877.29 : x
  2. Step 2: Convert to fraction form
    17,431.16/24,055.29 = 9,877.29/x
  3. Step 3: Cross multiply
    17,431.16x = 24,055.29 × 9,877.29
  4. Step 4: Simplify right side
    17,431.16x = 237,601,075.36
  5. Step 5: Solve for x
    x = 237,601,075.36/17,431.16
  6. Step 6: Final answer
    x = 13,630.83

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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.