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Finding the Fourth Proportional to 14,157.36, 19,538.12 and 7,869.72

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Solution

The fourth proportional to 14,157.36, 19,538.12 and 7,869.72 is: 10,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.36 : 19,538.12 = 7,869.72 : x
  2. Step 2: Convert to fraction form
    14,157.36/19,538.12 = 7,869.72/x
  3. Step 3: Cross multiply
    14,157.36x = 19,538.12 × 7,869.72
  4. Step 4: Simplify right side
    14,157.36x = 153,759,533.73
  5. Step 5: Solve for x
    x = 153,759,533.73/14,157.36
  6. Step 6: Final answer
    x = 10,860.75

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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.