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Finding the Fourth Proportional to 14,126.46, 19,492.35 and 8,459.88

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Solution

The fourth proportional to 14,126.46, 19,492.35 and 8,459.88 is: 11,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.46 : 19,492.35 = 8,459.88 : x
  2. Step 2: Convert to fraction form
    14,126.46/19,492.35 = 8,459.88/x
  3. Step 3: Cross multiply
    14,126.46x = 19,492.35 × 8,459.88
  4. Step 4: Simplify right side
    14,126.46x = 164,902,941.92
  5. Step 5: Solve for x
    x = 164,902,941.92/14,126.46
  6. Step 6: Final answer
    x = 11,673.34

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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.