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Finding the Fourth Proportional to 23,713.46, 32,719.84 and 14,282.63

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Solution

The fourth proportional to 23,713.46, 32,719.84 and 14,282.63 is: 19,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,713.46 : 32,719.84 = 14,282.63 : x
  2. Step 2: Convert to fraction form
    23,713.46/32,719.84 = 14,282.63/x
  3. Step 3: Cross multiply
    23,713.46x = 32,719.84 × 14,282.63
  4. Step 4: Simplify right side
    23,713.46x = 467,325,368.38
  5. Step 5: Solve for x
    x = 467,325,368.38/23,713.46
  6. Step 6: Final answer
    x = 19,707.18

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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.