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Finding the Fourth Proportional to 23,807.28, 32,848.02 and 14,374.02

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Solution

The fourth proportional to 23,807.28, 32,848.02 and 14,374.02 is: 19,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.28 : 32,848.02 = 14,374.02 : x
  2. Step 2: Convert to fraction form
    23,807.28/32,848.02 = 14,374.02/x
  3. Step 3: Cross multiply
    23,807.28x = 32,848.02 × 14,374.02
  4. Step 4: Simplify right side
    23,807.28x = 472,158,096.44
  5. Step 5: Solve for x
    x = 472,158,096.44/23,807.28
  6. Step 6: Final answer
    x = 19,832.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.