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Finding the Fourth Proportional to 24,215.45, 33,417.63 and 14,655.22

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Solution

The fourth proportional to 24,215.45, 33,417.63 and 14,655.22 is: 20,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.45 : 33,417.63 = 14,655.22 : x
  2. Step 2: Convert to fraction form
    24,215.45/33,417.63 = 14,655.22/x
  3. Step 3: Cross multiply
    24,215.45x = 33,417.63 × 14,655.22
  4. Step 4: Simplify right side
    24,215.45x = 489,742,635.98
  5. Step 5: Solve for x
    x = 489,742,635.98/24,215.45
  6. Step 6: Final answer
    x = 20,224.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.