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Finding the Fourth Proportional to 13,102, 18,080.76 and 7,214

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Solution

The fourth proportional to 13,102, 18,080.76 and 7,214 is: 9,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102 : 18,080.76 = 7,214 : x
  2. Step 2: Convert to fraction form
    13,102/18,080.76 = 7,214/x
  3. Step 3: Cross multiply
    13,102x = 18,080.76 × 7,214
  4. Step 4: Simplify right side
    13,102x = 130,434,602.64
  5. Step 5: Solve for x
    x = 130,434,602.64/13,102
  6. Step 6: Final answer
    x = 9,955.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.