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Finding the Fourth Proportional to 14,817.33, 22,234.95 and 6,497.82

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Solution

The fourth proportional to 14,817.33, 22,234.95 and 6,497.82 is: 9,750.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,817.33 : 22,234.95 = 6,497.82 : x
  2. Step 2: Convert to fraction form
    14,817.33/22,234.95 = 6,497.82/x
  3. Step 3: Cross multiply
    14,817.33x = 22,234.95 × 6,497.82
  4. Step 4: Simplify right side
    14,817.33x = 144,478,702.81
  5. Step 5: Solve for x
    x = 144,478,702.81/14,817.33
  6. Step 6: Final answer
    x = 9,750.66

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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.