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Finding the Fourth Proportional to 23,530.96, 32,472.83 and 13,459.51

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Solution

The fourth proportional to 23,530.96, 32,472.83 and 13,459.51 is: 18,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.96 : 32,472.83 = 13,459.51 : x
  2. Step 2: Convert to fraction form
    23,530.96/32,472.83 = 13,459.51/x
  3. Step 3: Cross multiply
    23,530.96x = 32,472.83 × 13,459.51
  4. Step 4: Simplify right side
    23,530.96x = 437,068,150.45
  5. Step 5: Solve for x
    x = 437,068,150.45/23,530.96
  6. Step 6: Final answer
    x = 18,574.18

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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.