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Finding the Fourth Proportional to 14,678.34, 22,017.51 and 4,814.97

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Solution

The fourth proportional to 14,678.34, 22,017.51 and 4,814.97 is: 7,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.34 : 22,017.51 = 4,814.97 : x
  2. Step 2: Convert to fraction form
    14,678.34/22,017.51 = 4,814.97/x
  3. Step 3: Cross multiply
    14,678.34x = 22,017.51 × 4,814.97
  4. Step 4: Simplify right side
    14,678.34x = 106,013,650.12
  5. Step 5: Solve for x
    x = 106,013,650.12/14,678.34
  6. Step 6: Final answer
    x = 7,222.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.