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Finding the Fourth Proportional to 13,780.50, 19,017.09 and 7,492.92

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Solution

The fourth proportional to 13,780.50, 19,017.09 and 7,492.92 is: 10,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.50 : 19,017.09 = 7,492.92 : x
  2. Step 2: Convert to fraction form
    13,780.50/19,017.09 = 7,492.92/x
  3. Step 3: Cross multiply
    13,780.50x = 19,017.09 × 7,492.92
  4. Step 4: Simplify right side
    13,780.50x = 142,493,534.00
  5. Step 5: Solve for x
    x = 142,493,534.00/13,780.50
  6. Step 6: Final answer
    x = 10,340.23

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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.