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Finding the Fourth Proportional to 11,282.46, 15,541.95 and 9,598.47

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Solution

The fourth proportional to 11,282.46, 15,541.95 and 9,598.47 is: 13,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.46 : 15,541.95 = 9,598.47 : x
  2. Step 2: Convert to fraction form
    11,282.46/15,541.95 = 9,598.47/x
  3. Step 3: Cross multiply
    11,282.46x = 15,541.95 × 9,598.47
  4. Step 4: Simplify right side
    11,282.46x = 149,178,940.82
  5. Step 5: Solve for x
    x = 149,178,940.82/11,282.46
  6. Step 6: Final answer
    x = 13,222.20

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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.