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Finding the Fourth Proportional to 13,510.42, 18,646.25 and 7,542.47

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Solution

The fourth proportional to 13,510.42, 18,646.25 and 7,542.47 is: 10,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.42 : 18,646.25 = 7,542.47 : x
  2. Step 2: Convert to fraction form
    13,510.42/18,646.25 = 7,542.47/x
  3. Step 3: Cross multiply
    13,510.42x = 18,646.25 × 7,542.47
  4. Step 4: Simplify right side
    13,510.42x = 140,638,790.14
  5. Step 5: Solve for x
    x = 140,638,790.14/13,510.42
  6. Step 6: Final answer
    x = 10,409.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.