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Finding the Fourth Proportional to 13,232.64, 19,848.32 and 5,024

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Solution

The fourth proportional to 13,232.64, 19,848.32 and 5,024 is: 7,535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.64 : 19,848.32 = 5,024 : x
  2. Step 2: Convert to fraction form
    13,232.64/19,848.32 = 5,024/x
  3. Step 3: Cross multiply
    13,232.64x = 19,848.32 × 5,024
  4. Step 4: Simplify right side
    13,232.64x = 99,717,959.68
  5. Step 5: Solve for x
    x = 99,717,959.68/13,232.64
  6. Step 6: Final answer
    x = 7,535.76

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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.