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Finding the Fourth Proportional to 21,385.30, 32,078.38 and 7,345.24

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Solution

The fourth proportional to 21,385.30, 32,078.38 and 7,345.24 is: 11,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.30 : 32,078.38 = 7,345.24 : x
  2. Step 2: Convert to fraction form
    21,385.30/32,078.38 = 7,345.24/x
  3. Step 3: Cross multiply
    21,385.30x = 32,078.38 × 7,345.24
  4. Step 4: Simplify right side
    21,385.30x = 235,623,399.91
  5. Step 5: Solve for x
    x = 235,623,399.91/21,385.30
  6. Step 6: Final answer
    x = 11,018.01

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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.