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Finding the Fourth Proportional to 14,765.19, 22,156.89 and 8,537.50

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Solution

The fourth proportional to 14,765.19, 22,156.89 and 8,537.50 is: 12,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.19 : 22,156.89 = 8,537.50 : x
  2. Step 2: Convert to fraction form
    14,765.19/22,156.89 = 8,537.50/x
  3. Step 3: Cross multiply
    14,765.19x = 22,156.89 × 8,537.50
  4. Step 4: Simplify right side
    14,765.19x = 189,164,448.38
  5. Step 5: Solve for x
    x = 189,164,448.38/14,765.19
  6. Step 6: Final answer
    x = 12,811.51

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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.