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Finding the Fourth Proportional to 13,830.80, 19,086.76 and 7,543.16

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Solution

The fourth proportional to 13,830.80, 19,086.76 and 7,543.16 is: 10,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.80 : 19,086.76 = 7,543.16 : x
  2. Step 2: Convert to fraction form
    13,830.80/19,086.76 = 7,543.16/x
  3. Step 3: Cross multiply
    13,830.80x = 19,086.76 × 7,543.16
  4. Step 4: Simplify right side
    13,830.80x = 143,974,484.56
  5. Step 5: Solve for x
    x = 143,974,484.56/13,830.80
  6. Step 6: Final answer
    x = 10,409.70

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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.