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Finding the Fourth Proportional to 17,774.34, 24,528.59 and 9,816.56

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Solution

The fourth proportional to 17,774.34, 24,528.59 and 9,816.56 is: 13,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.34 : 24,528.59 = 9,816.56 : x
  2. Step 2: Convert to fraction form
    17,774.34/24,528.59 = 9,816.56/x
  3. Step 3: Cross multiply
    17,774.34x = 24,528.59 × 9,816.56
  4. Step 4: Simplify right side
    17,774.34x = 240,786,332.52
  5. Step 5: Solve for x
    x = 240,786,332.52/17,774.34
  6. Step 6: Final answer
    x = 13,546.85

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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.