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Finding the Fourth Proportional to 12,670.86, 17,485.50 and 7,005.36

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Solution

The fourth proportional to 12,670.86, 17,485.50 and 7,005.36 is: 9,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.86 : 17,485.50 = 7,005.36 : x
  2. Step 2: Convert to fraction form
    12,670.86/17,485.50 = 7,005.36/x
  3. Step 3: Cross multiply
    12,670.86x = 17,485.50 × 7,005.36
  4. Step 4: Simplify right side
    12,670.86x = 122,492,222.28
  5. Step 5: Solve for x
    x = 122,492,222.28/12,670.86
  6. Step 6: Final answer
    x = 9,667.24

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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.