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Finding the Fourth Proportional to 14,533.49, 20,056.88 and 8,565.41

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Solution

The fourth proportional to 14,533.49, 20,056.88 and 8,565.41 is: 11,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.49 : 20,056.88 = 8,565.41 : x
  2. Step 2: Convert to fraction form
    14,533.49/20,056.88 = 8,565.41/x
  3. Step 3: Cross multiply
    14,533.49x = 20,056.88 × 8,565.41
  4. Step 4: Simplify right side
    14,533.49x = 171,795,400.52
  5. Step 5: Solve for x
    x = 171,795,400.52/14,533.49
  6. Step 6: Final answer
    x = 11,820.66

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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.