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Finding the Fourth Proportional to 14,424.27, 21,642.88 and 7,840.59

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Solution

The fourth proportional to 14,424.27, 21,642.88 and 7,840.59 is: 11,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.27 : 21,642.88 = 7,840.59 : x
  2. Step 2: Convert to fraction form
    14,424.27/21,642.88 = 7,840.59/x
  3. Step 3: Cross multiply
    14,424.27x = 21,642.88 × 7,840.59
  4. Step 4: Simplify right side
    14,424.27x = 169,692,948.50
  5. Step 5: Solve for x
    x = 169,692,948.50/14,424.27
  6. Step 6: Final answer
    x = 11,764.40

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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.