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Finding the Fourth Proportional to 24,074.31, 36,111.48 and 6,546.72

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Solution

The fourth proportional to 24,074.31, 36,111.48 and 6,546.72 is: 9,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.31 : 36,111.48 = 6,546.72 : x
  2. Step 2: Convert to fraction form
    24,074.31/36,111.48 = 6,546.72/x
  3. Step 3: Cross multiply
    24,074.31x = 36,111.48 × 6,546.72
  4. Step 4: Simplify right side
    24,074.31x = 236,411,748.35
  5. Step 5: Solve for x
    x = 236,411,748.35/24,074.31
  6. Step 6: Final answer
    x = 9,820.08

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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.