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Finding the Fourth Proportional to 14,157.78, 19,538.13 and 7,870.56

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Solution

The fourth proportional to 14,157.78, 19,538.13 and 7,870.56 is: 10,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.78 : 19,538.13 = 7,870.56 : x
  2. Step 2: Convert to fraction form
    14,157.78/19,538.13 = 7,870.56/x
  3. Step 3: Cross multiply
    14,157.78x = 19,538.13 × 7,870.56
  4. Step 4: Simplify right side
    14,157.78x = 153,776,024.45
  5. Step 5: Solve for x
    x = 153,776,024.45/14,157.78
  6. Step 6: Final answer
    x = 10,861.59

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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.