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Finding the Fourth Proportional to 14,521.52, 20,047.56 and 9,814.16

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Solution

The fourth proportional to 14,521.52, 20,047.56 and 9,814.16 is: 13,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.52 : 20,047.56 = 9,814.16 : x
  2. Step 2: Convert to fraction form
    14,521.52/20,047.56 = 9,814.16/x
  3. Step 3: Cross multiply
    14,521.52x = 20,047.56 × 9,814.16
  4. Step 4: Simplify right side
    14,521.52x = 196,749,961.45
  5. Step 5: Solve for x
    x = 196,749,961.45/14,521.52
  6. Step 6: Final answer
    x = 13,548.85

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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.