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Finding the Fourth Proportional to 24,507, 36,748.08 and 10,464.84

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Solution

The fourth proportional to 24,507, 36,748.08 and 10,464.84 is: 15,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507 : 36,748.08 = 10,464.84 : x
  2. Step 2: Convert to fraction form
    24,507/36,748.08 = 10,464.84/x
  3. Step 3: Cross multiply
    24,507x = 36,748.08 × 10,464.84
  4. Step 4: Simplify right side
    24,507x = 384,562,777.51
  5. Step 5: Solve for x
    x = 384,562,777.51/24,507
  6. Step 6: Final answer
    x = 15,691.96

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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.