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Finding the Fourth Proportional to 14,894.85, 22,345.01 and 4,900.16

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Solution

The fourth proportional to 14,894.85, 22,345.01 and 4,900.16 is: 7,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.85 : 22,345.01 = 4,900.16 : x
  2. Step 2: Convert to fraction form
    14,894.85/22,345.01 = 4,900.16/x
  3. Step 3: Cross multiply
    14,894.85x = 22,345.01 × 4,900.16
  4. Step 4: Simplify right side
    14,894.85x = 109,494,201.50
  5. Step 5: Solve for x
    x = 109,494,201.50/14,894.85
  6. Step 6: Final answer
    x = 7,351.14

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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.