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Finding the Fourth Proportional to 13,295.14, 19,881.96 and 9,966.04

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Solution

The fourth proportional to 13,295.14, 19,881.96 and 9,966.04 is: 14,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,295.14 : 19,881.96 = 9,966.04 : x
  2. Step 2: Convert to fraction form
    13,295.14/19,881.96 = 9,966.04/x
  3. Step 3: Cross multiply
    13,295.14x = 19,881.96 × 9,966.04
  4. Step 4: Simplify right side
    13,295.14x = 198,144,408.64
  5. Step 5: Solve for x
    x = 198,144,408.64/13,295.14
  6. Step 6: Final answer
    x = 14,903.52

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Why These Related Problems?

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