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Finding the Fourth Proportional to 15,216.67, 22,784.00 and 9,938.61

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Solution

The fourth proportional to 15,216.67, 22,784.00 and 9,938.61 is: 14,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,216.67 : 22,784.00 = 9,938.61 : x
  2. Step 2: Convert to fraction form
    15,216.67/22,784.00 = 9,938.61/x
  3. Step 3: Cross multiply
    15,216.67x = 22,784.00 × 9,938.61
  4. Step 4: Simplify right side
    15,216.67x = 226,441,240.55
  5. Step 5: Solve for x
    x = 226,441,240.55/15,216.67
  6. Step 6: Final answer
    x = 14,881.13

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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.