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Finding the Fourth Proportional to 37,206.40, 55,809.60 and 12,582.40

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Solution

The fourth proportional to 37,206.40, 55,809.60 and 12,582.40 is: 18,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,206.40 : 55,809.60 = 12,582.40 : x
  2. Step 2: Convert to fraction form
    37,206.40/55,809.60 = 12,582.40/x
  3. Step 3: Cross multiply
    37,206.40x = 55,809.60 × 12,582.40
  4. Step 4: Simplify right side
    37,206.40x = 702,218,711.04
  5. Step 5: Solve for x
    x = 702,218,711.04/37,206.40
  6. Step 6: Final answer
    x = 18,873.60

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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.