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Finding the Fourth Proportional to 24,461, 36,691.56 and 8,878.64

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Solution

The fourth proportional to 24,461, 36,691.56 and 8,878.64 is: 13,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461 : 36,691.56 = 8,878.64 : x
  2. Step 2: Convert to fraction form
    24,461/36,691.56 = 8,878.64/x
  3. Step 3: Cross multiply
    24,461x = 36,691.56 × 8,878.64
  4. Step 4: Simplify right side
    24,461x = 325,771,152.28
  5. Step 5: Solve for x
    x = 325,771,152.28/24,461
  6. Step 6: Final answer
    x = 13,317.98

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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.