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Finding the Fourth Proportional to 17,750.52, 24,495.71 and 9,792.76

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Solution

The fourth proportional to 17,750.52, 24,495.71 and 9,792.76 is: 13,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750.52 : 24,495.71 = 9,792.76 : x
  2. Step 2: Convert to fraction form
    17,750.52/24,495.71 = 9,792.76/x
  3. Step 3: Cross multiply
    17,750.52x = 24,495.71 × 9,792.76
  4. Step 4: Simplify right side
    17,750.52x = 239,880,609.06
  5. Step 5: Solve for x
    x = 239,880,609.06/17,750.52
  6. Step 6: Final answer
    x = 13,514.00

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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.