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Finding the Fourth Proportional to 14,157.76, 19,538.40 and 7,870

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Solution

The fourth proportional to 14,157.76, 19,538.40 and 7,870 is: 10,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.76 : 19,538.40 = 7,870 : x
  2. Step 2: Convert to fraction form
    14,157.76/19,538.40 = 7,870/x
  3. Step 3: Cross multiply
    14,157.76x = 19,538.40 × 7,870
  4. Step 4: Simplify right side
    14,157.76x = 153,767,208
  5. Step 5: Solve for x
    x = 153,767,208/14,157.76
  6. Step 6: Final answer
    x = 10,860.98

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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.