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Finding the Fourth Proportional to 12,213, 16,848.30 and 7,175.64

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Solution

The fourth proportional to 12,213, 16,848.30 and 7,175.64 is: 9,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213 : 16,848.30 = 7,175.64 : x
  2. Step 2: Convert to fraction form
    12,213/16,848.30 = 7,175.64/x
  3. Step 3: Cross multiply
    12,213x = 16,848.30 × 7,175.64
  4. Step 4: Simplify right side
    12,213x = 120,897,335.41
  5. Step 5: Solve for x
    x = 120,897,335.41/12,213
  6. Step 6: Final answer
    x = 9,899.07

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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.