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Finding the Fourth Proportional to 15,392, 23,059.65 and 13,731.64

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Solution

The fourth proportional to 15,392, 23,059.65 and 13,731.64 is: 20,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,392 : 23,059.65 = 13,731.64 : x
  2. Step 2: Convert to fraction form
    15,392/23,059.65 = 13,731.64/x
  3. Step 3: Cross multiply
    15,392x = 23,059.65 × 13,731.64
  4. Step 4: Simplify right side
    15,392x = 316,646,812.33
  5. Step 5: Solve for x
    x = 316,646,812.33/15,392
  6. Step 6: Final answer
    x = 20,572.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.