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Finding the Fourth Proportional to 12,611.34, 18,929.28 and 9,314.40

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Solution

The fourth proportional to 12,611.34, 18,929.28 and 9,314.40 is: 13,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.34 : 18,929.28 = 9,314.40 : x
  2. Step 2: Convert to fraction form
    12,611.34/18,929.28 = 9,314.40/x
  3. Step 3: Cross multiply
    12,611.34x = 18,929.28 × 9,314.40
  4. Step 4: Simplify right side
    12,611.34x = 176,314,885.63
  5. Step 5: Solve for x
    x = 176,314,885.63/12,611.34
  6. Step 6: Final answer
    x = 13,980.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.