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Finding the Fourth Proportional to 22,637.10, 33,968.88 and 9,488.46

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Solution

The fourth proportional to 22,637.10, 33,968.88 and 9,488.46 is: 14,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,637.10 : 33,968.88 = 9,488.46 : x
  2. Step 2: Convert to fraction form
    22,637.10/33,968.88 = 9,488.46/x
  3. Step 3: Cross multiply
    22,637.10x = 33,968.88 × 9,488.46
  4. Step 4: Simplify right side
    22,637.10x = 322,312,359.12
  5. Step 5: Solve for x
    x = 322,312,359.12/22,637.10
  6. Step 6: Final answer
    x = 14,238.24

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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.