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Finding the Fourth Proportional to 23,229.64, 32,059.05 and 13,158.51

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Solution

The fourth proportional to 23,229.64, 32,059.05 and 13,158.51 is: 18,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.64 : 32,059.05 = 13,158.51 : x
  2. Step 2: Convert to fraction form
    23,229.64/32,059.05 = 13,158.51/x
  3. Step 3: Cross multiply
    23,229.64x = 32,059.05 × 13,158.51
  4. Step 4: Simplify right side
    23,229.64x = 421,849,330.02
  5. Step 5: Solve for x
    x = 421,849,330.02/23,229.64
  6. Step 6: Final answer
    x = 18,159.96

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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.