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Finding the Fourth Proportional to 17,783.34, 24,541.02 and 9,825.57

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Solution

The fourth proportional to 17,783.34, 24,541.02 and 9,825.57 is: 13,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.34 : 24,541.02 = 9,825.57 : x
  2. Step 2: Convert to fraction form
    17,783.34/24,541.02 = 9,825.57/x
  3. Step 3: Cross multiply
    17,783.34x = 24,541.02 × 9,825.57
  4. Step 4: Simplify right side
    17,783.34x = 241,129,509.88
  5. Step 5: Solve for x
    x = 241,129,509.88/17,783.34
  6. Step 6: Final answer
    x = 13,559.29

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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.