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Finding the Fourth Proportional to 17,580.98, 24,260.88 and 9,623

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Solution

The fourth proportional to 17,580.98, 24,260.88 and 9,623 is: 13,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580.98 : 24,260.88 = 9,623 : x
  2. Step 2: Convert to fraction form
    17,580.98/24,260.88 = 9,623/x
  3. Step 3: Cross multiply
    17,580.98x = 24,260.88 × 9,623
  4. Step 4: Simplify right side
    17,580.98x = 233,462,448.24
  5. Step 5: Solve for x
    x = 233,462,448.24/17,580.98
  6. Step 6: Final answer
    x = 13,279.26

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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.