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Finding the Fourth Proportional to 19,405.52, 29,114.04 and 9,029.84

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Solution

The fourth proportional to 19,405.52, 29,114.04 and 9,029.84 is: 13,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,405.52 : 29,114.04 = 9,029.84 : x
  2. Step 2: Convert to fraction form
    19,405.52/29,114.04 = 9,029.84/x
  3. Step 3: Cross multiply
    19,405.52x = 29,114.04 × 9,029.84
  4. Step 4: Simplify right side
    19,405.52x = 262,895,122.95
  5. Step 5: Solve for x
    x = 262,895,122.95/19,405.52
  6. Step 6: Final answer
    x = 13,547.44

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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.