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Finding the Fourth Proportional to 14,777.76, 22,172.40 and 6,564

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Solution

The fourth proportional to 14,777.76, 22,172.40 and 6,564 is: 9,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.76 : 22,172.40 = 6,564 : x
  2. Step 2: Convert to fraction form
    14,777.76/22,172.40 = 6,564/x
  3. Step 3: Cross multiply
    14,777.76x = 22,172.40 × 6,564
  4. Step 4: Simplify right side
    14,777.76x = 145,539,633.60
  5. Step 5: Solve for x
    x = 145,539,633.60/14,777.76
  6. Step 6: Final answer
    x = 9,848.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.