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Finding the Fourth Proportional to 14,852.10, 20,497.95 and 8,564.34

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Solution

The fourth proportional to 14,852.10, 20,497.95 and 8,564.34 is: 11,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.10 : 20,497.95 = 8,564.34 : x
  2. Step 2: Convert to fraction form
    14,852.10/20,497.95 = 8,564.34/x
  3. Step 3: Cross multiply
    14,852.10x = 20,497.95 × 8,564.34
  4. Step 4: Simplify right side
    14,852.10x = 175,551,413.10
  5. Step 5: Solve for x
    x = 175,551,413.10/14,852.10
  6. Step 6: Final answer
    x = 11,819.97

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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.