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Finding the Fourth Proportional to 14,032, 21,048.08 and 4,798.08

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Solution

The fourth proportional to 14,032, 21,048.08 and 4,798.08 is: 7,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032 : 21,048.08 = 4,798.08 : x
  2. Step 2: Convert to fraction form
    14,032/21,048.08 = 4,798.08/x
  3. Step 3: Cross multiply
    14,032x = 21,048.08 × 4,798.08
  4. Step 4: Simplify right side
    14,032x = 100,990,371.69
  5. Step 5: Solve for x
    x = 100,990,371.69/14,032
  6. Step 6: Final answer
    x = 7,197.15

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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.