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Finding the Fourth Proportional to 14,246.16, 21,363.03 and 4,380

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Solution

The fourth proportional to 14,246.16, 21,363.03 and 4,380 is: 6,568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,246.16 : 21,363.03 = 4,380 : x
  2. Step 2: Convert to fraction form
    14,246.16/21,363.03 = 4,380/x
  3. Step 3: Cross multiply
    14,246.16x = 21,363.03 × 4,380
  4. Step 4: Simplify right side
    14,246.16x = 93,570,071.40
  5. Step 5: Solve for x
    x = 93,570,071.40/14,246.16
  6. Step 6: Final answer
    x = 6,568.09

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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.