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Finding the Fourth Proportional to 24,830.40, 37,237.68 and 8,186.64

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Solution

The fourth proportional to 24,830.40, 37,237.68 and 8,186.64 is: 12,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,830.40 : 37,237.68 = 8,186.64 : x
  2. Step 2: Convert to fraction form
    24,830.40/37,237.68 = 8,186.64/x
  3. Step 3: Cross multiply
    24,830.40x = 37,237.68 × 8,186.64
  4. Step 4: Simplify right side
    24,830.40x = 304,851,480.60
  5. Step 5: Solve for x
    x = 304,851,480.60/24,830.40
  6. Step 6: Final answer
    x = 12,277.35

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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.