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Finding the Fourth Proportional to 14,776.98, 22,158.98 and 5,536.50

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Solution

The fourth proportional to 14,776.98, 22,158.98 and 5,536.50 is: 8,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.98 : 22,158.98 = 5,536.50 : x
  2. Step 2: Convert to fraction form
    14,776.98/22,158.98 = 5,536.50/x
  3. Step 3: Cross multiply
    14,776.98x = 22,158.98 × 5,536.50
  4. Step 4: Simplify right side
    14,776.98x = 122,683,165.09
  5. Step 5: Solve for x
    x = 122,683,165.09/14,776.98
  6. Step 6: Final answer
    x = 8,302.32

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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.