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Finding the Fourth Proportional to 14,207.64, 19,605.44 and 7,834.21

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Solution

The fourth proportional to 14,207.64, 19,605.44 and 7,834.21 is: 10,810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,207.64 : 19,605.44 = 7,834.21 : x
  2. Step 2: Convert to fraction form
    14,207.64/19,605.44 = 7,834.21/x
  3. Step 3: Cross multiply
    14,207.64x = 19,605.44 × 7,834.21
  4. Step 4: Simplify right side
    14,207.64x = 153,593,094.93
  5. Step 5: Solve for x
    x = 153,593,094.93/14,207.64
  6. Step 6: Final answer
    x = 10,810.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.