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Finding the Fourth Proportional to 14,295.30, 21,446.10 and 4,807.30

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Solution

The fourth proportional to 14,295.30, 21,446.10 and 4,807.30 is: 7,212.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,295.30 : 21,446.10 = 4,807.30 : x
  2. Step 2: Convert to fraction form
    14,295.30/21,446.10 = 4,807.30/x
  3. Step 3: Cross multiply
    14,295.30x = 21,446.10 × 4,807.30
  4. Step 4: Simplify right side
    14,295.30x = 103,097,836.53
  5. Step 5: Solve for x
    x = 103,097,836.53/14,295.30
  6. Step 6: Final answer
    x = 7,212.01

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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.