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Finding the Fourth Proportional to 23,605.29, 32,574.03 and 13,533.24

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Solution

The fourth proportional to 23,605.29, 32,574.03 and 13,533.24 is: 18,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,605.29 : 32,574.03 = 13,533.24 : x
  2. Step 2: Convert to fraction form
    23,605.29/32,574.03 = 13,533.24/x
  3. Step 3: Cross multiply
    23,605.29x = 32,574.03 × 13,533.24
  4. Step 4: Simplify right side
    23,605.29x = 440,832,165.76
  5. Step 5: Solve for x
    x = 440,832,165.76/23,605.29
  6. Step 6: Final answer
    x = 18,675.14

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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.