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Finding the Fourth Proportional to 24,840.64, 37,261.32 and 7,306.48

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Solution

The fourth proportional to 24,840.64, 37,261.32 and 7,306.48 is: 10,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840.64 : 37,261.32 = 7,306.48 : x
  2. Step 2: Convert to fraction form
    24,840.64/37,261.32 = 7,306.48/x
  3. Step 3: Cross multiply
    24,840.64x = 37,261.32 × 7,306.48
  4. Step 4: Simplify right side
    24,840.64x = 272,249,089.35
  5. Step 5: Solve for x
    x = 272,249,089.35/24,840.64
  6. Step 6: Final answer
    x = 10,959.83

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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.