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Finding the Fourth Proportional to 19,617.66, 29,419.20 and 6,466.50

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Solution

The fourth proportional to 19,617.66, 29,419.20 and 6,466.50 is: 9,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,617.66 : 29,419.20 = 6,466.50 : x
  2. Step 2: Convert to fraction form
    19,617.66/29,419.20 = 6,466.50/x
  3. Step 3: Cross multiply
    19,617.66x = 29,419.20 × 6,466.50
  4. Step 4: Simplify right side
    19,617.66x = 190,239,256.80
  5. Step 5: Solve for x
    x = 190,239,256.80/19,617.66
  6. Step 6: Final answer
    x = 9,697.35

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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.