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Finding the Fourth Proportional to 14,492.96, 21,740.80 and 4,497.80

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Solution

The fourth proportional to 14,492.96, 21,740.80 and 4,497.80 is: 6,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.96 : 21,740.80 = 4,497.80 : x
  2. Step 2: Convert to fraction form
    14,492.96/21,740.80 = 4,497.80/x
  3. Step 3: Cross multiply
    14,492.96x = 21,740.80 × 4,497.80
  4. Step 4: Simplify right side
    14,492.96x = 97,785,770.24
  5. Step 5: Solve for x
    x = 97,785,770.24/14,492.96
  6. Step 6: Final answer
    x = 6,747.12

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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.