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Finding the Fourth Proportional to 13,865.58, 19,134.51 and 7,577.96

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Solution

The fourth proportional to 13,865.58, 19,134.51 and 7,577.96 is: 10,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.58 : 19,134.51 = 7,577.96 : x
  2. Step 2: Convert to fraction form
    13,865.58/19,134.51 = 7,577.96/x
  3. Step 3: Cross multiply
    13,865.58x = 19,134.51 × 7,577.96
  4. Step 4: Simplify right side
    13,865.58x = 145,000,455.73
  5. Step 5: Solve for x
    x = 145,000,455.73/13,865.58
  6. Step 6: Final answer
    x = 10,457.58

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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.