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Finding the Fourth Proportional to 14,953.24, 20,632.44 and 9,361

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Solution

The fourth proportional to 14,953.24, 20,632.44 and 9,361 is: 12,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,953.24 : 20,632.44 = 9,361 : x
  2. Step 2: Convert to fraction form
    14,953.24/20,632.44 = 9,361/x
  3. Step 3: Cross multiply
    14,953.24x = 20,632.44 × 9,361
  4. Step 4: Simplify right side
    14,953.24x = 193,140,270.84
  5. Step 5: Solve for x
    x = 193,140,270.84/14,953.24
  6. Step 6: Final answer
    x = 12,916.28

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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.