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Finding the Fourth Proportional to 19,985.24, 29,969.12 and 10,623

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Solution

The fourth proportional to 19,985.24, 29,969.12 and 10,623 is: 15,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.24 : 29,969.12 = 10,623 : x
  2. Step 2: Convert to fraction form
    19,985.24/29,969.12 = 10,623/x
  3. Step 3: Cross multiply
    19,985.24x = 29,969.12 × 10,623
  4. Step 4: Simplify right side
    19,985.24x = 318,361,961.76
  5. Step 5: Solve for x
    x = 318,361,961.76/19,985.24
  6. Step 6: Final answer
    x = 15,929.85

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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.