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Finding the Fourth Proportional to 14,965.13, 22,447.80 and 6,642.91

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Solution

The fourth proportional to 14,965.13, 22,447.80 and 6,642.91 is: 9,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.13 : 22,447.80 = 6,642.91 : x
  2. Step 2: Convert to fraction form
    14,965.13/22,447.80 = 6,642.91/x
  3. Step 3: Cross multiply
    14,965.13x = 22,447.80 × 6,642.91
  4. Step 4: Simplify right side
    14,965.13x = 149,118,602.86
  5. Step 5: Solve for x
    x = 149,118,602.86/14,965.13
  6. Step 6: Final answer
    x = 9,964.41

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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.