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Finding the Fourth Proportional to 24,574.40, 36,861.60 and 6,106.40

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Solution

The fourth proportional to 24,574.40, 36,861.60 and 6,106.40 is: 9,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574.40 : 36,861.60 = 6,106.40 : x
  2. Step 2: Convert to fraction form
    24,574.40/36,861.60 = 6,106.40/x
  3. Step 3: Cross multiply
    24,574.40x = 36,861.60 × 6,106.40
  4. Step 4: Simplify right side
    24,574.40x = 225,091,674.24
  5. Step 5: Solve for x
    x = 225,091,674.24/24,574.40
  6. Step 6: Final answer
    x = 9,159.60

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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.