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Finding the Fourth Proportional to 14,007, 21,014.10 and 5,242.02

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Solution

The fourth proportional to 14,007, 21,014.10 and 5,242.02 is: 7,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007 : 21,014.10 = 5,242.02 : x
  2. Step 2: Convert to fraction form
    14,007/21,014.10 = 5,242.02/x
  3. Step 3: Cross multiply
    14,007x = 21,014.10 × 5,242.02
  4. Step 4: Simplify right side
    14,007x = 110,156,332.48
  5. Step 5: Solve for x
    x = 110,156,332.48/14,007
  6. Step 6: Final answer
    x = 7,864.38

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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.