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Finding the Fourth Proportional to 14,502.23, 21,752.88 and 4,113.98

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Solution

The fourth proportional to 14,502.23, 21,752.88 and 4,113.98 is: 6,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.23 : 21,752.88 = 4,113.98 : x
  2. Step 2: Convert to fraction form
    14,502.23/21,752.88 = 4,113.98/x
  3. Step 3: Cross multiply
    14,502.23x = 21,752.88 × 4,113.98
  4. Step 4: Simplify right side
    14,502.23x = 89,490,804.50
  5. Step 5: Solve for x
    x = 89,490,804.50/14,502.23
  6. Step 6: Final answer
    x = 6,170.83

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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.