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Finding the Fourth Proportional to 17,783.34, 24,541.50 and 9,826.08

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Solution

The fourth proportional to 17,783.34, 24,541.50 and 9,826.08 is: 13,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.34 : 24,541.50 = 9,826.08 : x
  2. Step 2: Convert to fraction form
    17,783.34/24,541.50 = 9,826.08/x
  3. Step 3: Cross multiply
    17,783.34x = 24,541.50 × 9,826.08
  4. Step 4: Simplify right side
    17,783.34x = 241,146,742.32
  5. Step 5: Solve for x
    x = 241,146,742.32/17,783.34
  6. Step 6: Final answer
    x = 13,560.26

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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.