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Finding the Fourth Proportional to 17,876.28, 24,669.72 and 9,810.30

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Solution

The fourth proportional to 17,876.28, 24,669.72 and 9,810.30 is: 13,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.28 : 24,669.72 = 9,810.30 : x
  2. Step 2: Convert to fraction form
    17,876.28/24,669.72 = 9,810.30/x
  3. Step 3: Cross multiply
    17,876.28x = 24,669.72 × 9,810.30
  4. Step 4: Simplify right side
    17,876.28x = 242,017,354.12
  5. Step 5: Solve for x
    x = 242,017,354.12/17,876.28
  6. Step 6: Final answer
    x = 13,538.46

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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.