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Finding the Fourth Proportional to 13,242.94, 18,275.58 and 7,275

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Solution

The fourth proportional to 13,242.94, 18,275.58 and 7,275 is: 10,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.94 : 18,275.58 = 7,275 : x
  2. Step 2: Convert to fraction form
    13,242.94/18,275.58 = 7,275/x
  3. Step 3: Cross multiply
    13,242.94x = 18,275.58 × 7,275
  4. Step 4: Simplify right side
    13,242.94x = 132,954,844.50
  5. Step 5: Solve for x
    x = 132,954,844.50/13,242.94
  6. Step 6: Final answer
    x = 10,039.68

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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.