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Finding the Fourth Proportional to 13,801.95, 19,047.28 and 7,834.18

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Solution

The fourth proportional to 13,801.95, 19,047.28 and 7,834.18 is: 10,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.95 : 19,047.28 = 7,834.18 : x
  2. Step 2: Convert to fraction form
    13,801.95/19,047.28 = 7,834.18/x
  3. Step 3: Cross multiply
    13,801.95x = 19,047.28 × 7,834.18
  4. Step 4: Simplify right side
    13,801.95x = 149,219,752.83
  5. Step 5: Solve for x
    x = 149,219,752.83/13,801.95
  6. Step 6: Final answer
    x = 10,811.50

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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.