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Finding the Fourth Proportional to 13,830.54, 19,085.67 and 7,862.46

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Solution

The fourth proportional to 13,830.54, 19,085.67 and 7,862.46 is: 10,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.54 : 19,085.67 = 7,862.46 : x
  2. Step 2: Convert to fraction form
    13,830.54/19,085.67 = 7,862.46/x
  3. Step 3: Cross multiply
    13,830.54x = 19,085.67 × 7,862.46
  4. Step 4: Simplify right side
    13,830.54x = 150,060,316.95
  5. Step 5: Solve for x
    x = 150,060,316.95/13,830.54
  6. Step 6: Final answer
    x = 10,849.92

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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.