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Finding the Fourth Proportional to 23,550.04, 32,499.78 and 12,940

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Solution

The fourth proportional to 23,550.04, 32,499.78 and 12,940 is: 17,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,550.04 : 32,499.78 = 12,940 : x
  2. Step 2: Convert to fraction form
    23,550.04/32,499.78 = 12,940/x
  3. Step 3: Cross multiply
    23,550.04x = 32,499.78 × 12,940
  4. Step 4: Simplify right side
    23,550.04x = 420,547,153.20
  5. Step 5: Solve for x
    x = 420,547,153.20/23,550.04
  6. Step 6: Final answer
    x = 17,857.60

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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.