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Finding the Fourth Proportional to 13,133.46, 18,127.62 and 7,471.52

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Solution

The fourth proportional to 13,133.46, 18,127.62 and 7,471.52 is: 10,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.46 : 18,127.62 = 7,471.52 : x
  2. Step 2: Convert to fraction form
    13,133.46/18,127.62 = 7,471.52/x
  3. Step 3: Cross multiply
    13,133.46x = 18,127.62 × 7,471.52
  4. Step 4: Simplify right side
    13,133.46x = 135,440,875.38
  5. Step 5: Solve for x
    x = 135,440,875.38/13,133.46
  6. Step 6: Final answer
    x = 10,312.66

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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.