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Finding the Fourth Proportional to 23,420.30, 32,320.79 and 12,809.93

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Solution

The fourth proportional to 23,420.30, 32,320.79 and 12,809.93 is: 17,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420.30 : 32,320.79 = 12,809.93 : x
  2. Step 2: Convert to fraction form
    23,420.30/32,320.79 = 12,809.93/x
  3. Step 3: Cross multiply
    23,420.30x = 32,320.79 × 12,809.93
  4. Step 4: Simplify right side
    23,420.30x = 414,027,074.20
  5. Step 5: Solve for x
    x = 414,027,074.20/23,420.30
  6. Step 6: Final answer
    x = 17,678.13

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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.