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Finding the Fourth Proportional to 14,446.24, 21,630.24 and 7,506.16

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Solution

The fourth proportional to 14,446.24, 21,630.24 and 7,506.16 is: 11,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.24 : 21,630.24 = 7,506.16 : x
  2. Step 2: Convert to fraction form
    14,446.24/21,630.24 = 7,506.16/x
  3. Step 3: Cross multiply
    14,446.24x = 21,630.24 × 7,506.16
  4. Step 4: Simplify right side
    14,446.24x = 162,359,988.20
  5. Step 5: Solve for x
    x = 162,359,988.20/14,446.24
  6. Step 6: Final answer
    x = 11,238.91

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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.