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Finding the Fourth Proportional to 19,653.90, 29,488.14 and 9,129.06

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Solution

The fourth proportional to 19,653.90, 29,488.14 and 9,129.06 is: 13,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653.90 : 29,488.14 = 9,129.06 : x
  2. Step 2: Convert to fraction form
    19,653.90/29,488.14 = 9,129.06/x
  3. Step 3: Cross multiply
    19,653.90x = 29,488.14 × 9,129.06
  4. Step 4: Simplify right side
    19,653.90x = 269,198,999.35
  5. Step 5: Solve for x
    x = 269,198,999.35/19,653.90
  6. Step 6: Final answer
    x = 13,696.98

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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.