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Finding the Fourth Proportional to 17,774.32, 24,527.64 and 9,816.40

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Solution

The fourth proportional to 17,774.32, 24,527.64 and 9,816.40 is: 13,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.32 : 24,527.64 = 9,816.40 : x
  2. Step 2: Convert to fraction form
    17,774.32/24,527.64 = 9,816.40/x
  3. Step 3: Cross multiply
    17,774.32x = 24,527.64 × 9,816.40
  4. Step 4: Simplify right side
    17,774.32x = 240,773,125.30
  5. Step 5: Solve for x
    x = 240,773,125.30/17,774.32
  6. Step 6: Final answer
    x = 13,546.12

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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.