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Finding the Fourth Proportional to 24,207.84, 36,301.44 and 9,212.40

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Solution

The fourth proportional to 24,207.84, 36,301.44 and 9,212.40 is: 13,814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207.84 : 36,301.44 = 9,212.40 : x
  2. Step 2: Convert to fraction form
    24,207.84/36,301.44 = 9,212.40/x
  3. Step 3: Cross multiply
    24,207.84x = 36,301.44 × 9,212.40
  4. Step 4: Simplify right side
    24,207.84x = 334,423,385.86
  5. Step 5: Solve for x
    x = 334,423,385.86/24,207.84
  6. Step 6: Final answer
    x = 13,814.67

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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.