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Finding the Fourth Proportional to 13,475.68, 18,595.85 and 7,508

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Solution

The fourth proportional to 13,475.68, 18,595.85 and 7,508 is: 10,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.68 : 18,595.85 = 7,508 : x
  2. Step 2: Convert to fraction form
    13,475.68/18,595.85 = 7,508/x
  3. Step 3: Cross multiply
    13,475.68x = 18,595.85 × 7,508
  4. Step 4: Simplify right side
    13,475.68x = 139,617,641.80
  5. Step 5: Solve for x
    x = 139,617,641.80/13,475.68
  6. Step 6: Final answer
    x = 10,360.71

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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.