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Finding the Fourth Proportional to 17,461.47, 24,097.35 and 9,504.21

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Solution

The fourth proportional to 17,461.47, 24,097.35 and 9,504.21 is: 13,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.47 : 24,097.35 = 9,504.21 : x
  2. Step 2: Convert to fraction form
    17,461.47/24,097.35 = 9,504.21/x
  3. Step 3: Cross multiply
    17,461.47x = 24,097.35 × 9,504.21
  4. Step 4: Simplify right side
    17,461.47x = 229,026,274.84
  5. Step 5: Solve for x
    x = 229,026,274.84/17,461.47
  6. Step 6: Final answer
    x = 13,116.09

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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.