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Finding the Fourth Proportional to 24,989.32, 37,482.38 and 9,206.60

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Solution

The fourth proportional to 24,989.32, 37,482.38 and 9,206.60 is: 13,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,989.32 : 37,482.38 = 9,206.60 : x
  2. Step 2: Convert to fraction form
    24,989.32/37,482.38 = 9,206.60/x
  3. Step 3: Cross multiply
    24,989.32x = 37,482.38 × 9,206.60
  4. Step 4: Simplify right side
    24,989.32x = 345,085,279.71
  5. Step 5: Solve for x
    x = 345,085,279.71/24,989.32
  6. Step 6: Final answer
    x = 13,809.31

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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.