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Finding the Fourth Proportional to 14,825.25, 22,237.88 and 4,437

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Solution

The fourth proportional to 14,825.25, 22,237.88 and 4,437 is: 6,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.25 : 22,237.88 = 4,437 : x
  2. Step 2: Convert to fraction form
    14,825.25/22,237.88 = 4,437/x
  3. Step 3: Cross multiply
    14,825.25x = 22,237.88 × 4,437
  4. Step 4: Simplify right side
    14,825.25x = 98,669,451.38
  5. Step 5: Solve for x
    x = 98,669,451.38/14,825.25
  6. Step 6: Final answer
    x = 6,655.50

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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.