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Finding the Fourth Proportional to 17,890.74, 24,689.10 and 9,824.54

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Solution

The fourth proportional to 17,890.74, 24,689.10 and 9,824.54 is: 13,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,890.74 : 24,689.10 = 9,824.54 : x
  2. Step 2: Convert to fraction form
    17,890.74/24,689.10 = 9,824.54/x
  3. Step 3: Cross multiply
    17,890.74x = 24,689.10 × 9,824.54
  4. Step 4: Simplify right side
    17,890.74x = 242,559,050.51
  5. Step 5: Solve for x
    x = 242,559,050.51/17,890.74
  6. Step 6: Final answer
    x = 13,557.80

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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.