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Finding the Fourth Proportional to 24,012.56, 35,969.88 and 19,586

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Solution

The fourth proportional to 24,012.56, 35,969.88 and 19,586 is: 29,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,012.56 : 35,969.88 = 19,586 : x
  2. Step 2: Convert to fraction form
    24,012.56/35,969.88 = 19,586/x
  3. Step 3: Cross multiply
    24,012.56x = 35,969.88 × 19,586
  4. Step 4: Simplify right side
    24,012.56x = 704,506,069.68
  5. Step 5: Solve for x
    x = 704,506,069.68/24,012.56
  6. Step 6: Final answer
    x = 29,339.07

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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.