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Finding the Fourth Proportional to 14,692.50, 22,038.75 and 4,304.34

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Solution

The fourth proportional to 14,692.50, 22,038.75 and 4,304.34 is: 6,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.50 : 22,038.75 = 4,304.34 : x
  2. Step 2: Convert to fraction form
    14,692.50/22,038.75 = 4,304.34/x
  3. Step 3: Cross multiply
    14,692.50x = 22,038.75 × 4,304.34
  4. Step 4: Simplify right side
    14,692.50x = 94,862,273.18
  5. Step 5: Solve for x
    x = 94,862,273.18/14,692.50
  6. Step 6: Final answer
    x = 6,456.51

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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.