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Finding the Fourth Proportional to 14,157.19, 19,536.89 and 7,869.57

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Solution

The fourth proportional to 14,157.19, 19,536.89 and 7,869.57 is: 10,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.19 : 19,536.89 = 7,869.57 : x
  2. Step 2: Convert to fraction form
    14,157.19/19,536.89 = 7,869.57/x
  3. Step 3: Cross multiply
    14,157.19x = 19,536.89 × 7,869.57
  4. Step 4: Simplify right side
    14,157.19x = 153,746,923.44
  5. Step 5: Solve for x
    x = 153,746,923.44/14,157.19
  6. Step 6: Final answer
    x = 10,859.99

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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.