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Finding the Fourth Proportional to 23,705.64, 32,689.23 and 20,359.52

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Solution

The fourth proportional to 23,705.64, 32,689.23 and 20,359.52 is: 28,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.64 : 32,689.23 = 20,359.52 : x
  2. Step 2: Convert to fraction form
    23,705.64/32,689.23 = 20,359.52/x
  3. Step 3: Cross multiply
    23,705.64x = 32,689.23 × 20,359.52
  4. Step 4: Simplify right side
    23,705.64x = 665,537,031.97
  5. Step 5: Solve for x
    x = 665,537,031.97/23,705.64
  6. Step 6: Final answer
    x = 28,075.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.