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Finding the Fourth Proportional to 21,852.32, 32,767.86 and 7,812.05

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Solution

The fourth proportional to 21,852.32, 32,767.86 and 7,812.05 is: 11,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.32 : 32,767.86 = 7,812.05 : x
  2. Step 2: Convert to fraction form
    21,852.32/32,767.86 = 7,812.05/x
  3. Step 3: Cross multiply
    21,852.32x = 32,767.86 × 7,812.05
  4. Step 4: Simplify right side
    21,852.32x = 255,984,160.71
  5. Step 5: Solve for x
    x = 255,984,160.71/21,852.32
  6. Step 6: Final answer
    x = 11,714.28

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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.