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Finding the Fourth Proportional to 13,572.68, 18,731.06 and 7,606.26

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Solution

The fourth proportional to 13,572.68, 18,731.06 and 7,606.26 is: 10,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572.68 : 18,731.06 = 7,606.26 : x
  2. Step 2: Convert to fraction form
    13,572.68/18,731.06 = 7,606.26/x
  3. Step 3: Cross multiply
    13,572.68x = 18,731.06 × 7,606.26
  4. Step 4: Simplify right side
    13,572.68x = 142,473,373.17
  5. Step 5: Solve for x
    x = 142,473,373.17/13,572.68
  6. Step 6: Final answer
    x = 10,497.07

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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.