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Finding the Fourth Proportional to 15,218.10, 22,827.15 and 9,969.30

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Solution

The fourth proportional to 15,218.10, 22,827.15 and 9,969.30 is: 14,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,218.10 : 22,827.15 = 9,969.30 : x
  2. Step 2: Convert to fraction form
    15,218.10/22,827.15 = 9,969.30/x
  3. Step 3: Cross multiply
    15,218.10x = 22,827.15 × 9,969.30
  4. Step 4: Simplify right side
    15,218.10x = 227,570,706.50
  5. Step 5: Solve for x
    x = 227,570,706.50/15,218.10
  6. Step 6: Final answer
    x = 14,953.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.