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Finding the Fourth Proportional to 13,454.33, 18,566.93 and 7,485.86

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Solution

The fourth proportional to 13,454.33, 18,566.93 and 7,485.86 is: 10,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.33 : 18,566.93 = 7,485.86 : x
  2. Step 2: Convert to fraction form
    13,454.33/18,566.93 = 7,485.86/x
  3. Step 3: Cross multiply
    13,454.33x = 18,566.93 × 7,485.86
  4. Step 4: Simplify right side
    13,454.33x = 138,989,503.74
  5. Step 5: Solve for x
    x = 138,989,503.74/13,454.33
  6. Step 6: Final answer
    x = 10,330.47

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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.