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Finding the Fourth Proportional to 14,969, 22,454.40 and 4,580.84

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Solution

The fourth proportional to 14,969, 22,454.40 and 4,580.84 is: 6,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969 : 22,454.40 = 4,580.84 : x
  2. Step 2: Convert to fraction form
    14,969/22,454.40 = 4,580.84/x
  3. Step 3: Cross multiply
    14,969x = 22,454.40 × 4,580.84
  4. Step 4: Simplify right side
    14,969x = 102,860,013.70
  5. Step 5: Solve for x
    x = 102,860,013.70/14,969
  6. Step 6: Final answer
    x = 6,871.54

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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.