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Finding the Fourth Proportional to 12,671.90, 17,485.68 and 7,005.87

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Solution

The fourth proportional to 12,671.90, 17,485.68 and 7,005.87 is: 9,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.90 : 17,485.68 = 7,005.87 : x
  2. Step 2: Convert to fraction form
    12,671.90/17,485.68 = 7,005.87/x
  3. Step 3: Cross multiply
    12,671.90x = 17,485.68 × 7,005.87
  4. Step 4: Simplify right side
    12,671.90x = 122,502,400.94
  5. Step 5: Solve for x
    x = 122,502,400.94/12,671.90
  6. Step 6: Final answer
    x = 9,667.25

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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.