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Finding the Fourth Proportional to 17,505.84, 24,158.22 and 9,548.16

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Solution

The fourth proportional to 17,505.84, 24,158.22 and 9,548.16 is: 13,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505.84 : 24,158.22 = 9,548.16 : x
  2. Step 2: Convert to fraction form
    17,505.84/24,158.22 = 9,548.16/x
  3. Step 3: Cross multiply
    17,505.84x = 24,158.22 × 9,548.16
  4. Step 4: Simplify right side
    17,505.84x = 230,666,549.88
  5. Step 5: Solve for x
    x = 230,666,549.88/17,505.84
  6. Step 6: Final answer
    x = 13,176.55

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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.