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Finding the Fourth Proportional to 13,562.76, 18,716.40 and 7,594.63

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Solution

The fourth proportional to 13,562.76, 18,716.40 and 7,594.63 is: 10,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.76 : 18,716.40 = 7,594.63 : x
  2. Step 2: Convert to fraction form
    13,562.76/18,716.40 = 7,594.63/x
  3. Step 3: Cross multiply
    13,562.76x = 18,716.40 × 7,594.63
  4. Step 4: Simplify right side
    13,562.76x = 142,144,132.93
  5. Step 5: Solve for x
    x = 142,144,132.93/13,562.76
  6. Step 6: Final answer
    x = 10,480.47

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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.