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Finding the Fourth Proportional to 14,482.65, 21,699.68 and 7,071.15

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Solution

The fourth proportional to 14,482.65, 21,699.68 and 7,071.15 is: 10,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,482.65 : 21,699.68 = 7,071.15 : x
  2. Step 2: Convert to fraction form
    14,482.65/21,699.68 = 7,071.15/x
  3. Step 3: Cross multiply
    14,482.65x = 21,699.68 × 7,071.15
  4. Step 4: Simplify right side
    14,482.65x = 153,441,656.88
  5. Step 5: Solve for x
    x = 153,441,656.88/14,482.65
  6. Step 6: Final answer
    x = 10,594.86

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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.