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Finding the Fourth Proportional to 16,886.54, 23,306.32 and 9,817.06

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Solution

The fourth proportional to 16,886.54, 23,306.32 and 9,817.06 is: 13,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,886.54 : 23,306.32 = 9,817.06 : x
  2. Step 2: Convert to fraction form
    16,886.54/23,306.32 = 9,817.06/x
  3. Step 3: Cross multiply
    16,886.54x = 23,306.32 × 9,817.06
  4. Step 4: Simplify right side
    16,886.54x = 228,799,492.73
  5. Step 5: Solve for x
    x = 228,799,492.73/16,886.54
  6. Step 6: Final answer
    x = 13,549.23

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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.