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Finding the Fourth Proportional to 17,038.17, 23,507.28 and 9,962.01

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Solution

The fourth proportional to 17,038.17, 23,507.28 and 9,962.01 is: 13,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.17 : 23,507.28 = 9,962.01 : x
  2. Step 2: Convert to fraction form
    17,038.17/23,507.28 = 9,962.01/x
  3. Step 3: Cross multiply
    17,038.17x = 23,507.28 × 9,962.01
  4. Step 4: Simplify right side
    17,038.17x = 234,179,758.43
  5. Step 5: Solve for x
    x = 234,179,758.43/17,038.17
  6. Step 6: Final answer
    x = 13,744.42

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