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Finding the Fourth Proportional to 14,533.19, 20,056.44 and 8,565.11

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Solution

The fourth proportional to 14,533.19, 20,056.44 and 8,565.11 is: 11,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.19 : 20,056.44 = 8,565.11 : x
  2. Step 2: Convert to fraction form
    14,533.19/20,056.44 = 8,565.11/x
  3. Step 3: Cross multiply
    14,533.19x = 20,056.44 × 8,565.11
  4. Step 4: Simplify right side
    14,533.19x = 171,785,514.53
  5. Step 5: Solve for x
    x = 171,785,514.53/14,533.19
  6. Step 6: Final answer
    x = 11,820.22

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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.