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Finding the Fourth Proportional to 24,416.02, 36,624.03 and 8,830

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Solution

The fourth proportional to 24,416.02, 36,624.03 and 8,830 is: 13,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.02 : 36,624.03 = 8,830 : x
  2. Step 2: Convert to fraction form
    24,416.02/36,624.03 = 8,830/x
  3. Step 3: Cross multiply
    24,416.02x = 36,624.03 × 8,830
  4. Step 4: Simplify right side
    24,416.02x = 323,390,184.90
  5. Step 5: Solve for x
    x = 323,390,184.90/24,416.02
  6. Step 6: Final answer
    x = 13,245.00

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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.