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Finding the Fourth Proportional to 13,476.15, 18,595.38 and 7,507.38

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Solution

The fourth proportional to 13,476.15, 18,595.38 and 7,507.38 is: 10,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.15 : 18,595.38 = 7,507.38 : x
  2. Step 2: Convert to fraction form
    13,476.15/18,595.38 = 7,507.38/x
  3. Step 3: Cross multiply
    13,476.15x = 18,595.38 × 7,507.38
  4. Step 4: Simplify right side
    13,476.15x = 139,602,583.90
  5. Step 5: Solve for x
    x = 139,602,583.90/13,476.15
  6. Step 6: Final answer
    x = 10,359.23

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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.