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Finding the Fourth Proportional to 13,537.86, 18,682.19 and 7,569.53

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Solution

The fourth proportional to 13,537.86, 18,682.19 and 7,569.53 is: 10,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.86 : 18,682.19 = 7,569.53 : x
  2. Step 2: Convert to fraction form
    13,537.86/18,682.19 = 7,569.53/x
  3. Step 3: Cross multiply
    13,537.86x = 18,682.19 × 7,569.53
  4. Step 4: Simplify right side
    13,537.86x = 141,415,444.38
  5. Step 5: Solve for x
    x = 141,415,444.38/13,537.86
  6. Step 6: Final answer
    x = 10,445.92

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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.