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Finding the Fourth Proportional to 13,444.52, 18,551.69 and 7,475

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Solution

The fourth proportional to 13,444.52, 18,551.69 and 7,475 is: 10,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.52 : 18,551.69 = 7,475 : x
  2. Step 2: Convert to fraction form
    13,444.52/18,551.69 = 7,475/x
  3. Step 3: Cross multiply
    13,444.52x = 18,551.69 × 7,475
  4. Step 4: Simplify right side
    13,444.52x = 138,673,845.38
  5. Step 5: Solve for x
    x = 138,673,845.38/13,444.52
  6. Step 6: Final answer
    x = 10,314.53

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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.