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Finding the Fourth Proportional to 13,032.24, 19,552 and 4,273.32

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Solution

The fourth proportional to 13,032.24, 19,552 and 4,273.32 is: 6,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.24 : 19,552 = 4,273.32 : x
  2. Step 2: Convert to fraction form
    13,032.24/19,552 = 4,273.32/x
  3. Step 3: Cross multiply
    13,032.24x = 19,552 × 4,273.32
  4. Step 4: Simplify right side
    13,032.24x = 83,551,952.64
  5. Step 5: Solve for x
    x = 83,551,952.64/13,032.24
  6. Step 6: Final answer
    x = 6,411.17

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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.