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Finding the Fourth Proportional to 13,125.98, 18,114.23 and 7,157.77

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Solution

The fourth proportional to 13,125.98, 18,114.23 and 7,157.77 is: 9,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.98 : 18,114.23 = 7,157.77 : x
  2. Step 2: Convert to fraction form
    13,125.98/18,114.23 = 7,157.77/x
  3. Step 3: Cross multiply
    13,125.98x = 18,114.23 × 7,157.77
  4. Step 4: Simplify right side
    13,125.98x = 129,657,464.68
  5. Step 5: Solve for x
    x = 129,657,464.68/13,125.98
  6. Step 6: Final answer
    x = 9,877.92

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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.