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Finding the Fourth Proportional to 24,489.63, 36,742.95 and 9,703.08

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Solution

The fourth proportional to 24,489.63, 36,742.95 and 9,703.08 is: 14,557.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489.63 : 36,742.95 = 9,703.08 : x
  2. Step 2: Convert to fraction form
    24,489.63/36,742.95 = 9,703.08/x
  3. Step 3: Cross multiply
    24,489.63x = 36,742.95 × 9,703.08
  4. Step 4: Simplify right side
    24,489.63x = 356,519,783.29
  5. Step 5: Solve for x
    x = 356,519,783.29/24,489.63
  6. Step 6: Final answer
    x = 14,557.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.