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Finding the Fourth Proportional to 14,157.36, 19,538.15 and 7,870.14

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Solution

The fourth proportional to 14,157.36, 19,538.15 and 7,870.14 is: 10,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.36 : 19,538.15 = 7,870.14 : x
  2. Step 2: Convert to fraction form
    14,157.36/19,538.15 = 7,870.14/x
  3. Step 3: Cross multiply
    14,157.36x = 19,538.15 × 7,870.14
  4. Step 4: Simplify right side
    14,157.36x = 153,767,936.49
  5. Step 5: Solve for x
    x = 153,767,936.49/14,157.36
  6. Step 6: Final answer
    x = 10,861.34

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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.