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Finding the Fourth Proportional to 17,693.30, 24,417.25 and 9,735.46

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Solution

The fourth proportional to 17,693.30, 24,417.25 and 9,735.46 is: 13,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.30 : 24,417.25 = 9,735.46 : x
  2. Step 2: Convert to fraction form
    17,693.30/24,417.25 = 9,735.46/x
  3. Step 3: Cross multiply
    17,693.30x = 24,417.25 × 9,735.46
  4. Step 4: Simplify right side
    17,693.30x = 237,713,075.30
  5. Step 5: Solve for x
    x = 237,713,075.30/17,693.30
  6. Step 6: Final answer
    x = 13,435.20

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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.