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Finding the Fourth Proportional to 23,577.80, 32,535.78 and 13,506.28

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Solution

The fourth proportional to 23,577.80, 32,535.78 and 13,506.28 is: 18,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.80 : 32,535.78 = 13,506.28 : x
  2. Step 2: Convert to fraction form
    23,577.80/32,535.78 = 13,506.28/x
  3. Step 3: Cross multiply
    23,577.80x = 32,535.78 × 13,506.28
  4. Step 4: Simplify right side
    23,577.80x = 439,437,354.70
  5. Step 5: Solve for x
    x = 439,437,354.70/23,577.80
  6. Step 6: Final answer
    x = 18,637.76

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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.