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Finding the Fourth Proportional to 13,872.95, 19,148.23 and 8,564.73

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Solution

The fourth proportional to 13,872.95, 19,148.23 and 8,564.73 is: 11,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.95 : 19,148.23 = 8,564.73 : x
  2. Step 2: Convert to fraction form
    13,872.95/19,148.23 = 8,564.73/x
  3. Step 3: Cross multiply
    13,872.95x = 19,148.23 × 8,564.73
  4. Step 4: Simplify right side
    13,872.95x = 163,999,419.93
  5. Step 5: Solve for x
    x = 163,999,419.93/13,872.95
  6. Step 6: Final answer
    x = 11,821.52

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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.