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Finding the Fourth Proportional to 17,580.78, 26,371.98 and 9,783.72

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Solution

The fourth proportional to 17,580.78, 26,371.98 and 9,783.72 is: 14,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580.78 : 26,371.98 = 9,783.72 : x
  2. Step 2: Convert to fraction form
    17,580.78/26,371.98 = 9,783.72/x
  3. Step 3: Cross multiply
    17,580.78x = 26,371.98 × 9,783.72
  4. Step 4: Simplify right side
    17,580.78x = 258,016,068.17
  5. Step 5: Solve for x
    x = 258,016,068.17/17,580.78
  6. Step 6: Final answer
    x = 14,676.03

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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.