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Finding the Fourth Proportional to 13,248.85, 18,284.43 and 7,585.38

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Solution

The fourth proportional to 13,248.85, 18,284.43 and 7,585.38 is: 10,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248.85 : 18,284.43 = 7,585.38 : x
  2. Step 2: Convert to fraction form
    13,248.85/18,284.43 = 7,585.38/x
  3. Step 3: Cross multiply
    13,248.85x = 18,284.43 × 7,585.38
  4. Step 4: Simplify right side
    13,248.85x = 138,694,349.63
  5. Step 5: Solve for x
    x = 138,694,349.63/13,248.85
  6. Step 6: Final answer
    x = 10,468.41

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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.