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Finding the Fourth Proportional to 24,609.68, 36,905.40 and 9,814.16

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Solution

The fourth proportional to 24,609.68, 36,905.40 and 9,814.16 is: 14,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,609.68 : 36,905.40 = 9,814.16 : x
  2. Step 2: Convert to fraction form
    24,609.68/36,905.40 = 9,814.16/x
  3. Step 3: Cross multiply
    24,609.68x = 36,905.40 × 9,814.16
  4. Step 4: Simplify right side
    24,609.68x = 362,195,500.46
  5. Step 5: Solve for x
    x = 362,195,500.46/24,609.68
  6. Step 6: Final answer
    x = 14,717.60

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1.5x scale

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.