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Finding the Fourth Proportional to 19,752.66, 29,629.80 and 6,605.15

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Solution

The fourth proportional to 19,752.66, 29,629.80 and 6,605.15 is: 9,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.66 : 29,629.80 = 6,605.15 : x
  2. Step 2: Convert to fraction form
    19,752.66/29,629.80 = 6,605.15/x
  3. Step 3: Cross multiply
    19,752.66x = 29,629.80 × 6,605.15
  4. Step 4: Simplify right side
    19,752.66x = 195,709,125.32
  5. Step 5: Solve for x
    x = 195,709,125.32/19,752.66
  6. Step 6: Final answer
    x = 9,907.99

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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.