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Finding the Fourth Proportional to 15,256.64, 22,923.30 and 9,712.46

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Solution

The fourth proportional to 15,256.64, 22,923.30 and 9,712.46 is: 14,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,256.64 : 22,923.30 = 9,712.46 : x
  2. Step 2: Convert to fraction form
    15,256.64/22,923.30 = 9,712.46/x
  3. Step 3: Cross multiply
    15,256.64x = 22,923.30 × 9,712.46
  4. Step 4: Simplify right side
    15,256.64x = 222,641,634.32
  5. Step 5: Solve for x
    x = 222,641,634.32/15,256.64
  6. Step 6: Final answer
    x = 14,593.10

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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.