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Finding the Fourth Proportional to 17,823.66, 26,733.33 and 4,677

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Solution

The fourth proportional to 17,823.66, 26,733.33 and 4,677 is: 7,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.66 : 26,733.33 = 4,677 : x
  2. Step 2: Convert to fraction form
    17,823.66/26,733.33 = 4,677/x
  3. Step 3: Cross multiply
    17,823.66x = 26,733.33 × 4,677
  4. Step 4: Simplify right side
    17,823.66x = 125,031,784.41
  5. Step 5: Solve for x
    x = 125,031,784.41/17,823.66
  6. Step 6: Final answer
    x = 7,014.93

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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.