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Finding the Fourth Proportional to 17,580.98, 24,261.76 and 9,623.25

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Solution

The fourth proportional to 17,580.98, 24,261.76 and 9,623.25 is: 13,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580.98 : 24,261.76 = 9,623.25 : x
  2. Step 2: Convert to fraction form
    17,580.98/24,261.76 = 9,623.25/x
  3. Step 3: Cross multiply
    17,580.98x = 24,261.76 × 9,623.25
  4. Step 4: Simplify right side
    17,580.98x = 233,476,860.61
  5. Step 5: Solve for x
    x = 233,476,860.61/17,580.98
  6. Step 6: Final answer
    x = 13,280.08

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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.