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Finding the Fourth Proportional to 38,541.24, 57,810.54 and 16,340.32

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Solution

The fourth proportional to 38,541.24, 57,810.54 and 16,340.32 is: 24,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,541.24 : 57,810.54 = 16,340.32 : x
  2. Step 2: Convert to fraction form
    38,541.24/57,810.54 = 16,340.32/x
  3. Step 3: Cross multiply
    38,541.24x = 57,810.54 × 16,340.32
  4. Step 4: Simplify right side
    38,541.24x = 944,642,722.97
  5. Step 5: Solve for x
    x = 944,642,722.97/38,541.24
  6. Step 6: Final answer
    x = 24,509.92

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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.