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Finding the Fourth Proportional to 17,784.30, 26,667.30 and 10,403.16

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Solution

The fourth proportional to 17,784.30, 26,667.30 and 10,403.16 is: 15,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.30 : 26,667.30 = 10,403.16 : x
  2. Step 2: Convert to fraction form
    17,784.30/26,667.30 = 10,403.16/x
  3. Step 3: Cross multiply
    17,784.30x = 26,667.30 × 10,403.16
  4. Step 4: Simplify right side
    17,784.30x = 277,424,188.67
  5. Step 5: Solve for x
    x = 277,424,188.67/17,784.30
  6. Step 6: Final answer
    x = 15,599.39

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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.