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Finding the Fourth Proportional to 14,130.96, 21,193.20 and 6,342

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Solution

The fourth proportional to 14,130.96, 21,193.20 and 6,342 is: 9,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.96 : 21,193.20 = 6,342 : x
  2. Step 2: Convert to fraction form
    14,130.96/21,193.20 = 6,342/x
  3. Step 3: Cross multiply
    14,130.96x = 21,193.20 × 6,342
  4. Step 4: Simplify right side
    14,130.96x = 134,407,274.40
  5. Step 5: Solve for x
    x = 134,407,274.40/14,130.96
  6. Step 6: Final answer
    x = 9,511.55

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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.