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Finding the Fourth Proportional to 15,905.85, 21,948 and 8,830.91

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Solution

The fourth proportional to 15,905.85, 21,948 and 8,830.91 is: 12,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905.85 : 21,948 = 8,830.91 : x
  2. Step 2: Convert to fraction form
    15,905.85/21,948 = 8,830.91/x
  3. Step 3: Cross multiply
    15,905.85x = 21,948 × 8,830.91
  4. Step 4: Simplify right side
    15,905.85x = 193,820,702.94
  5. Step 5: Solve for x
    x = 193,820,702.94/15,905.85
  6. Step 6: Final answer
    x = 12,185.50

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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.