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Finding the Fourth Proportional to 15,830.18, 21,840.95 and 9,115.64

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Solution

The fourth proportional to 15,830.18, 21,840.95 and 9,115.64 is: 12,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.18 : 21,840.95 = 9,115.64 : x
  2. Step 2: Convert to fraction form
    15,830.18/21,840.95 = 9,115.64/x
  3. Step 3: Cross multiply
    15,830.18x = 21,840.95 × 9,115.64
  4. Step 4: Simplify right side
    15,830.18x = 199,094,105.46
  5. Step 5: Solve for x
    x = 199,094,105.46/15,830.18
  6. Step 6: Final answer
    x = 12,576.87

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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.