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Finding the Fourth Proportional to 17,724.35, 24,459.53 and 9,658.49

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Solution

The fourth proportional to 17,724.35, 24,459.53 and 9,658.49 is: 13,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.35 : 24,459.53 = 9,658.49 : x
  2. Step 2: Convert to fraction form
    17,724.35/24,459.53 = 9,658.49/x
  3. Step 3: Cross multiply
    17,724.35x = 24,459.53 × 9,658.49
  4. Step 4: Simplify right side
    17,724.35x = 236,241,955.32
  5. Step 5: Solve for x
    x = 236,241,955.32/17,724.35
  6. Step 6: Final answer
    x = 13,328.66

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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.