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Finding the Fourth Proportional to 23,438.53, 32,345.24 and 12,828.85

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Solution

The fourth proportional to 23,438.53, 32,345.24 and 12,828.85 is: 17,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,438.53 : 32,345.24 = 12,828.85 : x
  2. Step 2: Convert to fraction form
    23,438.53/32,345.24 = 12,828.85/x
  3. Step 3: Cross multiply
    23,438.53x = 32,345.24 × 12,828.85
  4. Step 4: Simplify right side
    23,438.53x = 414,952,232.17
  5. Step 5: Solve for x
    x = 414,952,232.17/23,438.53
  6. Step 6: Final answer
    x = 17,703.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.