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Finding the Fourth Proportional to 14,065.47, 21,096 and 4,705.47

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Solution

The fourth proportional to 14,065.47, 21,096 and 4,705.47 is: 7,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.47 : 21,096 = 4,705.47 : x
  2. Step 2: Convert to fraction form
    14,065.47/21,096 = 4,705.47/x
  3. Step 3: Cross multiply
    14,065.47x = 21,096 × 4,705.47
  4. Step 4: Simplify right side
    14,065.47x = 99,266,595.12
  5. Step 5: Solve for x
    x = 99,266,595.12/14,065.47
  6. Step 6: Final answer
    x = 7,057.47

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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.