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Finding the Fourth Proportional to 37,280, 55,923.20 and 12,656.64

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Solution

The fourth proportional to 37,280, 55,923.20 and 12,656.64 is: 18,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,280 : 55,923.20 = 12,656.64 : x
  2. Step 2: Convert to fraction form
    37,280/55,923.20 = 12,656.64/x
  3. Step 3: Cross multiply
    37,280x = 55,923.20 × 12,656.64
  4. Step 4: Simplify right side
    37,280x = 707,799,810.05
  5. Step 5: Solve for x
    x = 707,799,810.05/37,280
  6. Step 6: Final answer
    x = 18,986.05

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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.