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Finding the Fourth Proportional to 14,962.84, 22,444.32 and 4,574.56

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Solution

The fourth proportional to 14,962.84, 22,444.32 and 4,574.56 is: 6,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,962.84 : 22,444.32 = 4,574.56 : x
  2. Step 2: Convert to fraction form
    14,962.84/22,444.32 = 4,574.56/x
  3. Step 3: Cross multiply
    14,962.84x = 22,444.32 × 4,574.56
  4. Step 4: Simplify right side
    14,962.84x = 102,672,888.50
  5. Step 5: Solve for x
    x = 102,672,888.50/14,962.84
  6. Step 6: Final answer
    x = 6,861.86

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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.