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Finding the Fourth Proportional to 17,509.64, 26,244.30 and 7,646.60

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Solution

The fourth proportional to 17,509.64, 26,244.30 and 7,646.60 is: 11,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.64 : 26,244.30 = 7,646.60 : x
  2. Step 2: Convert to fraction form
    17,509.64/26,244.30 = 7,646.60/x
  3. Step 3: Cross multiply
    17,509.64x = 26,244.30 × 7,646.60
  4. Step 4: Simplify right side
    17,509.64x = 200,679,664.38
  5. Step 5: Solve for x
    x = 200,679,664.38/17,509.64
  6. Step 6: Final answer
    x = 11,461.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.