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Finding the Fourth Proportional to 21,506.64, 32,256.24 and 9,817.12

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Solution

The fourth proportional to 21,506.64, 32,256.24 and 9,817.12 is: 14,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.64 : 32,256.24 = 9,817.12 : x
  2. Step 2: Convert to fraction form
    21,506.64/32,256.24 = 9,817.12/x
  3. Step 3: Cross multiply
    21,506.64x = 32,256.24 × 9,817.12
  4. Step 4: Simplify right side
    21,506.64x = 316,663,378.83
  5. Step 5: Solve for x
    x = 316,663,378.83/21,506.64
  6. Step 6: Final answer
    x = 14,723.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.