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Finding the Fourth Proportional to 24,590.40, 36,880.80 and 8,174.40

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Solution

The fourth proportional to 24,590.40, 36,880.80 and 8,174.40 is: 12,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,590.40 : 36,880.80 = 8,174.40 : x
  2. Step 2: Convert to fraction form
    24,590.40/36,880.80 = 8,174.40/x
  3. Step 3: Cross multiply
    24,590.40x = 36,880.80 × 8,174.40
  4. Step 4: Simplify right side
    24,590.40x = 301,478,411.52
  5. Step 5: Solve for x
    x = 301,478,411.52/24,590.40
  6. Step 6: Final answer
    x = 12,260.00

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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.