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Finding the Fourth Proportional to 24,783.90, 37,168.00 and 8,140.07

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Solution

The fourth proportional to 24,783.90, 37,168.00 and 8,140.07 is: 12,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.90 : 37,168.00 = 8,140.07 : x
  2. Step 2: Convert to fraction form
    24,783.90/37,168.00 = 8,140.07/x
  3. Step 3: Cross multiply
    24,783.90x = 37,168.00 × 8,140.07
  4. Step 4: Simplify right side
    24,783.90x = 302,549,915.57
  5. Step 5: Solve for x
    x = 302,549,915.57/24,783.90
  6. Step 6: Final answer
    x = 12,207.52

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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.