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Finding the Fourth Proportional to 13,348.03, 19,994.32 and 7,784.50

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Solution

The fourth proportional to 13,348.03, 19,994.32 and 7,784.50 is: 11,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.03 : 19,994.32 = 7,784.50 : x
  2. Step 2: Convert to fraction form
    13,348.03/19,994.32 = 7,784.50/x
  3. Step 3: Cross multiply
    13,348.03x = 19,994.32 × 7,784.50
  4. Step 4: Simplify right side
    13,348.03x = 155,645,784.04
  5. Step 5: Solve for x
    x = 155,645,784.04/13,348.03
  6. Step 6: Final answer
    x = 11,660.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.