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Finding the Fourth Proportional to 14,004, 21,008.88 and 5,796

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Solution

The fourth proportional to 14,004, 21,008.88 and 5,796 is: 8,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004 : 21,008.88 = 5,796 : x
  2. Step 2: Convert to fraction form
    14,004/21,008.88 = 5,796/x
  3. Step 3: Cross multiply
    14,004x = 21,008.88 × 5,796
  4. Step 4: Simplify right side
    14,004x = 121,767,468.48
  5. Step 5: Solve for x
    x = 121,767,468.48/14,004
  6. Step 6: Final answer
    x = 8,695.19

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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.