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Finding the Fourth Proportional to 13,543.80, 18,690.74 and 7,575.40

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Solution

The fourth proportional to 13,543.80, 18,690.74 and 7,575.40 is: 10,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.80 : 18,690.74 = 7,575.40 : x
  2. Step 2: Convert to fraction form
    13,543.80/18,690.74 = 7,575.40/x
  3. Step 3: Cross multiply
    13,543.80x = 18,690.74 × 7,575.40
  4. Step 4: Simplify right side
    13,543.80x = 141,589,831.80
  5. Step 5: Solve for x
    x = 141,589,831.80/13,543.80
  6. Step 6: Final answer
    x = 10,454.22

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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.