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Finding the Fourth Proportional to 24,643.28, 36,962.22 and 9,848.36

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Solution

The fourth proportional to 24,643.28, 36,962.22 and 9,848.36 is: 14,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.28 : 36,962.22 = 9,848.36 : x
  2. Step 2: Convert to fraction form
    24,643.28/36,962.22 = 9,848.36/x
  3. Step 3: Cross multiply
    24,643.28x = 36,962.22 × 9,848.36
  4. Step 4: Simplify right side
    24,643.28x = 364,017,248.96
  5. Step 5: Solve for x
    x = 364,017,248.96/24,643.28
  6. Step 6: Final answer
    x = 14,771.46

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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.