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Finding the Fourth Proportional to 12,671.30, 17,484.86 and 7,005.66

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Solution

The fourth proportional to 12,671.30, 17,484.86 and 7,005.66 is: 9,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.30 : 17,484.86 = 7,005.66 : x
  2. Step 2: Convert to fraction form
    12,671.30/17,484.86 = 7,005.66/x
  3. Step 3: Cross multiply
    12,671.30x = 17,484.86 × 7,005.66
  4. Step 4: Simplify right side
    12,671.30x = 122,492,984.31
  5. Step 5: Solve for x
    x = 122,492,984.31/12,671.30
  6. Step 6: Final answer
    x = 9,666.96

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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.