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Finding the Fourth Proportional to 13,308.99, 19,977.30 and 9,802.94

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Solution

The fourth proportional to 13,308.99, 19,977.30 and 9,802.94 is: 14,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,308.99 : 19,977.30 = 9,802.94 : x
  2. Step 2: Convert to fraction form
    13,308.99/19,977.30 = 9,802.94/x
  3. Step 3: Cross multiply
    13,308.99x = 19,977.30 × 9,802.94
  4. Step 4: Simplify right side
    13,308.99x = 195,836,173.38
  5. Step 5: Solve for x
    x = 195,836,173.38/13,308.99
  6. Step 6: Final answer
    x = 14,714.58

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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.