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Finding the Fourth Proportional to 24,459.30, 36,678.69 and 7,814.88

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Solution

The fourth proportional to 24,459.30, 36,678.69 and 7,814.88 is: 11,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,459.30 : 36,678.69 = 7,814.88 : x
  2. Step 2: Convert to fraction form
    24,459.30/36,678.69 = 7,814.88/x
  3. Step 3: Cross multiply
    24,459.30x = 36,678.69 × 7,814.88
  4. Step 4: Simplify right side
    24,459.30x = 286,639,560.91
  5. Step 5: Solve for x
    x = 286,639,560.91/24,459.30
  6. Step 6: Final answer
    x = 11,719.04

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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.