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Finding the Fourth Proportional to 14,689.98, 20,275.32 and 11,496.96

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Solution

The fourth proportional to 14,689.98, 20,275.32 and 11,496.96 is: 15,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.98 : 20,275.32 = 11,496.96 : x
  2. Step 2: Convert to fraction form
    14,689.98/20,275.32 = 11,496.96/x
  3. Step 3: Cross multiply
    14,689.98x = 20,275.32 × 11,496.96
  4. Step 4: Simplify right side
    14,689.98x = 233,104,543.03
  5. Step 5: Solve for x
    x = 233,104,543.03/14,689.98
  6. Step 6: Final answer
    x = 15,868.27

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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.