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Finding the Fourth Proportional to 17,724.02, 24,459 and 9,766.06

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Solution

The fourth proportional to 17,724.02, 24,459 and 9,766.06 is: 13,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.02 : 24,459 = 9,766.06 : x
  2. Step 2: Convert to fraction form
    17,724.02/24,459 = 9,766.06/x
  3. Step 3: Cross multiply
    17,724.02x = 24,459 × 9,766.06
  4. Step 4: Simplify right side
    17,724.02x = 238,868,061.54
  5. Step 5: Solve for x
    x = 238,868,061.54/17,724.02
  6. Step 6: Final answer
    x = 13,477.08

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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.