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Finding the Fourth Proportional to 23,595.81, 32,561.70 and 13,530.17

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Solution

The fourth proportional to 23,595.81, 32,561.70 and 13,530.17 is: 18,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,595.81 : 32,561.70 = 13,530.17 : x
  2. Step 2: Convert to fraction form
    23,595.81/32,561.70 = 13,530.17/x
  3. Step 3: Cross multiply
    23,595.81x = 32,561.70 × 13,530.17
  4. Step 4: Simplify right side
    23,595.81x = 440,565,367.16
  5. Step 5: Solve for x
    x = 440,565,367.16/23,595.81
  6. Step 6: Final answer
    x = 18,671.34

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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.