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Finding the Fourth Proportional to 21,505.64, 32,254.74 and 9,816.12

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Solution

The fourth proportional to 21,505.64, 32,254.74 and 9,816.12 is: 14,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.64 : 32,254.74 = 9,816.12 : x
  2. Step 2: Convert to fraction form
    21,505.64/32,254.74 = 9,816.12/x
  3. Step 3: Cross multiply
    21,505.64x = 32,254.74 × 9,816.12
  4. Step 4: Simplify right side
    21,505.64x = 316,616,398.41
  5. Step 5: Solve for x
    x = 316,616,398.41/21,505.64
  6. Step 6: Final answer
    x = 14,722.49

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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.